https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&feed=atom&action=history
Integral Command - Revision history
2024-03-28T14:44:04Z
Revision history for this page on the wiki
MediaWiki 1.35.1
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=58182&oldid=prev
Murkle: * in some versions of GeoGebra, a numerical algorithm is used so integrating up to an asypmtote or similar eg <code>Integral(ln(x), 0, 1)</code> won't work. In this case try <code>Integral(ln(x), 0, 1, false)</code>
2019-03-20T11:11:03Z
<p>* in some versions of GeoGebra, a numerical algorithm is used so integrating up to an asypmtote or similar eg <code>Integral(ln(x), 0, 1)</code> won't work. In this case try <code>Integral(ln(x), 0, 1, false)</code></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:11, 20 March 2019</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{note| 1=<div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{note| 1=<div></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* The answer isn't guaranteed to be continuous, eg <code>Integral(floor(x))</code>, that is the integral of the function ⌊x⌋ - in that case you can define your own function to use eg <code>F(x)=(floor(x)² - floor(x))/2 + x floor(x) - floor(x)²</code>, i.e. the function <math>\frac{⌊x⌋² - ⌊x⌋}{2} + x \cdot⌊x⌋ - ⌊x⌋²</math></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* The answer isn't guaranteed to be continuous, eg <code>Integral(floor(x))</code>, that is the integral of the function ⌊x⌋ - in that case you can define your own function to use eg <code>F(x)=(floor(x)² - floor(x))/2 + x floor(x) - floor(x)²</code>, i.e. the function <math>\frac{⌊x⌋² - ⌊x⌋}{2} + x \cdot⌊x⌋ - ⌊x⌋²</math></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* in some versions of GeoGebra, a numerical algorithm is used so integrating up to an asypmtote or similar eg <code>Integral(ln(x), 0, 1)</code> won't work. In this case try <code>Integral(ln(x), 0, 1, false)</code></ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div></div>}}</div></td></tr>
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Murkle
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=56970&oldid=prev
Mathmum: command example using ggb syntax instead of symbols
2018-03-06T07:56:06Z
<p>command example using ggb syntax instead of symbols</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:56, 6 March 2018</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{note| 1=<div></div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{note| 1=<div></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>* The answer isn't guaranteed to be continuous, eg <code>Integral(<del class="diffchange diffchange-inline">⌊x⌋</del>) </code> - in that case you can define your own function to use eg <code>F(x) = (<del class="diffchange diffchange-inline">⌊x⌋^2 </del>- <del class="diffchange diffchange-inline">⌊x⌋</del>)/2 + x <del class="diffchange diffchange-inline">⌊x⌋ </del>- ⌊x⌋<del class="diffchange diffchange-inline">^</del>2</<del class="diffchange diffchange-inline">code</del>></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>* The answer isn't guaranteed to be continuous, eg <code>Integral(<ins class="diffchange diffchange-inline">floor(x)</ins>)</code><ins class="diffchange diffchange-inline">, that is the integral of the function ⌊x⌋ </ins>- in that case you can define your own function to use eg <code>F(x)=(<ins class="diffchange diffchange-inline">floor(x)² </ins>- <ins class="diffchange diffchange-inline">floor(x)</ins>)/2 + x <ins class="diffchange diffchange-inline">floor(x) - floor(x)²</code>, i.e. the function <math>\frac{⌊x⌋² </ins>- ⌊x⌋<ins class="diffchange diffchange-inline">}{</ins>2<ins class="diffchange diffchange-inline">} + x \cdot⌊x⌋ - ⌊x⌋²</ins></<ins class="diffchange diffchange-inline">math</ins>></div></td></tr>
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Mathmum
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=56966&oldid=prev
Murkle: The answer isn't guaranteed to be continuous, eg <code>Integral(⌊x⌋) </code> - in that case you can define your own function to use eg <code>F(x) = (⌊x⌋^2 - ⌊x⌋)/2 + x ⌊x⌋ - ⌊x⌋^2</code>
2018-03-05T14:36:31Z
<p>The answer isn't guaranteed to be continuous, eg <code>Integral(⌊x⌋) </code> - in that case you can define your own function to use eg <code>F(x) = (⌊x⌋^2 - ⌊x⌋)/2 + x ⌊x⌋ - ⌊x⌋^2</code></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:36, 5 March 2018</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l20" >Line 20:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<code><nowiki>Integral(cos(t), t, a, b)</nowiki></code> yields <math>- sin(a) + sin(b)</math>.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<code><nowiki>Integral(cos(t), t, a, b)</nowiki></code> yields <math>- sin(a) + sin(b)</math>.}}</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{note| 1=<div></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* The answer isn't guaranteed to be continuous, eg <code>Integral(⌊x⌋) </code> - in that case you can define your own function to use eg <code>F(x) = (⌊x⌋^2 - ⌊x⌋)/2 + x ⌊x⌋ - ⌊x⌋^2</code></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></div>}}</ins></div></td></tr>
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Murkle
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=56040&oldid=prev
Mathmum: command syntax: changed [ ] into ( )
2017-10-09T07:26:09Z
<p>command syntax: changed [ ] into ( )</p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:26, 9 October 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l2" >Line 2:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function> )</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function> )</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<del class="diffchange diffchange-inline"><div></del><code><nowiki>Integral<del class="diffchange diffchange-inline">[</del>x^3<del class="diffchange diffchange-inline">]</del></nowiki></code> yields <math>x^4 \cdot 0.25</math>.<del class="diffchange diffchange-inline"></div></del>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<code><nowiki>Integral<ins class="diffchange diffchange-inline">(</ins>x^3<ins class="diffchange diffchange-inline">)</ins></nowiki></code> yields <math>x^4 \cdot 0.25</math>.}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function>, <Variable> )</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function>, <Variable> )</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the partial integral with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the partial integral with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{Example|1=<code><nowiki>Integral<del class="diffchange diffchange-inline">[</del>x³+3x y, x<del class="diffchange diffchange-inline">]</del></nowiki></code> gives'' <math>\frac{1}{4}x^4</math> + <math>\frac{3}{2}</math> x² y '' .}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{Example|1=<code><nowiki>Integral<ins class="diffchange diffchange-inline">(</ins>x³+3x y, x<ins class="diffchange diffchange-inline">)</ins></nowiki></code> gives'' <math>\frac{1}{4}x^4</math> + <math>\frac{3}{2}</math> x² y '' .}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function>, <Start x-Value>, <End x-Value> )</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function>, <Start x-Value>, <End x-Value> )</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] undefined variables are allowed as input as well.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] undefined variables are allowed as input as well.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<del class="diffchange diffchange-inline"><div></del><code><nowiki>Integral<del class="diffchange diffchange-inline">[</del>cos(a t), t<del class="diffchange diffchange-inline">]</del></nowiki></code> yields <math>\frac{sin(a t)}{a} + c_1</math>.<del class="diffchange diffchange-inline"></div></del>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<code><nowiki>Integral<ins class="diffchange diffchange-inline">(</ins>cos(a t), t<ins class="diffchange diffchange-inline">)</ins></nowiki></code> yields <math>\frac{sin(a t)}{a} + c_1</math>.}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Furthermore, the following command is only available in the [[File:Menu view cas.svg|link=|16px]] ''CAS View'':</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Furthermore, the following command is only available in the [[File:Menu view cas.svg|link=|16px]] ''CAS View'':</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l19" >Line 19:</td>
<td colspan="2" class="diff-lineno">Line 19:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function>, <Variable>, <Start x-Value>, <End x-Value> )</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral( <Function>, <Variable>, <Start x-Value>, <End x-Value> )</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<del class="diffchange diffchange-inline"><div></del><code><nowiki>Integral<del class="diffchange diffchange-inline">[</del>cos(t), t, a, b<del class="diffchange diffchange-inline">]</del></nowiki></code> yields <math>- sin(a) + sin(b)</math>.<del class="diffchange diffchange-inline"></div></del>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<code><nowiki>Integral<ins class="diffchange diffchange-inline">(</ins>cos(t), t, a, b<ins class="diffchange diffchange-inline">)</ins></nowiki></code> yields <math>- sin(a) + sin(b)</math>.}}</div></td></tr>
</table>
Mathmum
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=55704&oldid=prev
Zbynek: Text replace - ";(.*)\[(.*)\]" to ";$1($2)"
2017-10-07T15:16:30Z
<p>Text replace - ";(.*)\[(.*)\]" to ";$1($2)"</p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 15:16, 7 October 2017</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
<td colspan="2" class="diff-lineno">Line 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral<del class="diffchange diffchange-inline">[ </del><Function> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral<ins class="diffchange diffchange-inline">( </ins><Function> <ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[x^3]</nowiki></code> yields <math>x^4 \cdot 0.25</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[x^3]</nowiki></code> yields <math>x^4 \cdot 0.25</math>.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral<del class="diffchange diffchange-inline">[ </del><Function>, <Variable> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral<ins class="diffchange diffchange-inline">( </ins><Function>, <Variable> <ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the partial integral with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the partial integral with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{Example|1=<code><nowiki>Integral[x³+3x y, x]</nowiki></code> gives'' <math>\frac{1}{4}x^4</math> + <math>\frac{3}{2}</math> x² y '' .}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{Example|1=<code><nowiki>Integral[x³+3x y, x]</nowiki></code> gives'' <math>\frac{1}{4}x^4</math> + <math>\frac{3}{2}</math> x² y '' .}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral<del class="diffchange diffchange-inline">[ </del><Function>, <Start x-Value>, <End x-Value> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral<ins class="diffchange diffchange-inline">( </ins><Function>, <Start x-Value>, <End x-Value> <ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=This command also shades the area between the function graph of ''f'' and the ''x''-axis.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=This command also shades the area between the function graph of ''f'' and the ''x''-axis.}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral<del class="diffchange diffchange-inline">[ </del><Function>, <Start x-Value>, <End x-Value>, <Boolean Evaluate> <del class="diffchange diffchange-inline">] </del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral<ins class="diffchange diffchange-inline">( </ins><Function>, <Start x-Value>, <End x-Value>, <Boolean Evaluate> <ins class="diffchange diffchange-inline">) </ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable and shades the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable and shades the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l17" >Line 17:</td>
<td colspan="2" class="diff-lineno">Line 17:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Furthermore, the following command is only available in the [[File:Menu view cas.svg|link=|16px]] ''CAS View'':</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Furthermore, the following command is only available in the [[File:Menu view cas.svg|link=|16px]] ''CAS View'':</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral<del class="diffchange diffchange-inline">[ </del><Function>, <Variable>, <Start x-Value>, <End x-Value> <del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral<ins class="diffchange diffchange-inline">( </ins><Function>, <Variable>, <Start x-Value>, <End x-Value> <ins class="diffchange diffchange-inline">)</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math>- sin(a) + sin(b)</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math>- sin(a) + sin(b)</math>.</div>}}</div></td></tr>
</table>
Zbynek
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=50327&oldid=prev
Markus.winkler: changed CAS syntax description
2015-10-09T14:01:53Z
<p>changed CAS syntax description</p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 14:01, 9 October 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l8" >Line 8:</td>
<td colspan="2" class="diff-lineno">Line 8:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Start x-Value>, <End x-Value> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Start x-Value>, <End x-Value> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=This command also <del class="diffchange diffchange-inline">shadows </del>the area between the function graph of ''f'' and the ''x''-axis.}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=This command also <ins class="diffchange diffchange-inline">shades </ins>the area between the function graph of ''f'' and the ''x''-axis.}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Start x-Value>, <End x-Value>, <Boolean Evaluate> ] </div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Start x-Value>, <End x-Value>, <Boolean Evaluate> ] </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable and <del class="diffchange diffchange-inline">shadows </del>the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable and <ins class="diffchange diffchange-inline">shades </ins>the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">;Integral</del>[ <del class="diffchange diffchange-inline"><Function> ]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">In the [</ins>[<ins class="diffchange diffchange-inline">File</ins>:<ins class="diffchange diffchange-inline">Menu view cas</ins>.<ins class="diffchange diffchange-inline">svg</ins>|<ins class="diffchange diffchange-inline">link</ins>=<ins class="diffchange diffchange-inline">|16px]] [</ins>[<ins class="diffchange diffchange-inline">CAS View</ins>]] <ins class="diffchange diffchange-inline">undefined variables are allowed as input as well</ins>.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:<del class="diffchange diffchange-inline">Gives the indefinite integral with respect to the main variable</del>.</div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">:{{example</del>|<del class="diffchange diffchange-inline">1</del>=<del class="diffchange diffchange-inline"><div><code><nowiki>Integral</del>[<del class="diffchange diffchange-inline">cos(x)</del>]<del class="diffchange diffchange-inline"></nowiki></code> yields <math>sin(x) + c_1</math>.</div>}}</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">;Integral[ <Function>, <Variable> </del>]</div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">: Gives the indefinite integral with respect to the given variable</del>.</div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(a t), t]</nowiki></code> yields <math>\frac{sin(a t)}{a} + c_1</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(a t), t]</nowiki></code> yields <math>\frac{sin(a t)}{a} + c_1</math>.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">;Integral[ <Function>, <Start x-Value></del>, <del class="diffchange diffchange-inline"><End x-Value> ]</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">:Gives </del>the <del class="diffchange diffchange-inline">definite integral over </del>the <del class="diffchange diffchange-inline">interval </del>''<del class="diffchange diffchange-inline">[Start x-Value , End x-Value]</del>'' <del class="diffchange diffchange-inline">with respect to the main variable.</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">Furthermore</ins>, the <ins class="diffchange diffchange-inline">following command is only available in </ins>the <ins class="diffchange diffchange-inline">[[File:Menu view cas.svg|link=|16px]] </ins>''<ins class="diffchange diffchange-inline">CAS View</ins>''<ins class="diffchange diffchange-inline">:</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">:{{example|1=<div><code><nowiki>Integral[cos(x), a, b]</nowiki></code> yields <math>- sin(a) + sin(b)</math>.</div>}}</del></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Variable>, <Start x-Value>, <End x-Value> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Variable>, <Start x-Value>, <End x-Value> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math>- sin(a) + sin(b)</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math>- sin(a) + sin(b)</math>.</div>}}</div></td></tr>
</table>
Markus.winkler
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=47701&oldid=prev
Markus.winkler at 11:07, 5 August 2015
2015-08-05T11:07:34Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 11:07, 5 August 2015</td>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=5.0}}</noinclude></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>{{command|cas=true|function}}</div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td></tr>
</table>
Markus.winkler
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=46191&oldid=prev
Markus.winkler at 08:08, 24 July 2015
2015-07-24T08:08:33Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 08:08, 24 July 2015</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1" >Line 1:</td>
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<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=<del class="diffchange diffchange-inline">4</del>.<del class="diffchange diffchange-inline">2</del>}}</noinclude></div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><noinclude>{{Manual Page|version=<ins class="diffchange diffchange-inline">5</ins>.<ins class="diffchange diffchange-inline">0</ins>}}</noinclude></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{command|cas=true|function}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>{{command|cas=true|function}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function> ]</div></td></tr>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Start x-Value>, <End x-Value> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Start x-Value>, <End x-Value> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(x), a, b]</nowiki></code> yields <math>sin(<del class="diffchange diffchange-inline">b</del>) <del class="diffchange diffchange-inline">- </del>sin(<del class="diffchange diffchange-inline">a</del>)</math>.</div>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(x), a, b]</nowiki></code> yields <math><ins class="diffchange diffchange-inline">- </ins>sin(<ins class="diffchange diffchange-inline">a</ins>) <ins class="diffchange diffchange-inline">+ </ins>sin(<ins class="diffchange diffchange-inline">b</ins>)</math>.</div>}}</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Variable>, <Start x-Value>, <End x-Value> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Variable>, <Start x-Value>, <End x-Value> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math>sin(<del class="diffchange diffchange-inline">b</del>) <del class="diffchange diffchange-inline">- </del>sin(<del class="diffchange diffchange-inline">a</del>)</math>.</div>}}</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math><ins class="diffchange diffchange-inline">- </ins>sin(<ins class="diffchange diffchange-inline">a</ins>) <ins class="diffchange diffchange-inline">+ </ins>sin(<ins class="diffchange diffchange-inline">b</ins>)</math>.</div>}}</div></td></tr>
</table>
Markus.winkler
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=34891&oldid=prev
Kimeswenger at 13:57, 22 March 2013
2013-03-22T13:57:33Z
<p></p>
<table class="diff diff-contentalign-left diff-editfont-monospace" data-mw="interface">
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:57, 22 March 2013</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l13" >Line 13:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable and shadows the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable and shadows the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function <del class="diffchange diffchange-inline">f</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the indefinite integral with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(x)]</nowiki></code> yields <math>sin(x) + c_1</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(x)]</nowiki></code> yields <math>sin(x) + c_1</math>.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function <del class="diffchange diffchange-inline">f</del>>, <Variable <del class="diffchange diffchange-inline">t</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Variable> ]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>: Gives the indefinite integral with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>: Gives the indefinite integral with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(a t), t]</nowiki></code> yields <math>\frac{sin(a t)}{a} + c_1</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(a t), t]</nowiki></code> yields <math>\frac{sin(a t)}{a} + c_1</math>.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <<del class="diffchange diffchange-inline">Number a</del>>, <<del class="diffchange diffchange-inline">Number b</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <<ins class="diffchange diffchange-inline">Start x-Value</ins>>, <<ins class="diffchange diffchange-inline">End x-Value</ins>> ]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[<del class="diffchange diffchange-inline">a </del>, <del class="diffchange diffchange-inline">b</del>]'' with respect to the main variable.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[<ins class="diffchange diffchange-inline">Start x-Value </ins>, <ins class="diffchange diffchange-inline">End x-Value</ins>]'' with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(x), a, b]</nowiki></code> yields <math>sin(b) - sin(a)</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(x), a, b]</nowiki></code> yields <math>sin(b) - sin(a)</math>.</div>}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function <del class="diffchange diffchange-inline">f</del>>, <Variable <del class="diffchange diffchange-inline">t</del>>, <<del class="diffchange diffchange-inline">Number a</del>>, <<del class="diffchange diffchange-inline">Number b</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <Variable>, <<ins class="diffchange diffchange-inline">Start x-Value</ins>>, <<ins class="diffchange diffchange-inline">End x-Value</ins>> ]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[<del class="diffchange diffchange-inline">a </del>, <del class="diffchange diffchange-inline">b</del>]'' with respect to the given variable.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[<ins class="diffchange diffchange-inline">Start x-Value </ins>, <ins class="diffchange diffchange-inline">End x-Value</ins>]'' with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math>sin(b) - sin(a)</math>.</div>}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{example|1=<div><code><nowiki>Integral[cos(t), t, a, b]</nowiki></code> yields <math>sin(b) - sin(a)</math>.</div>}}</div></td></tr>
</table>
Kimeswenger
https://wiki.geogebra.org/s/en/index.php?title=Integral_Command&diff=34890&oldid=prev
Kimeswenger at 13:52, 22 March 2013
2013-03-22T13:52:48Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 13:52, 22 March 2013</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l7" >Line 7:</td>
<td colspan="2" class="diff-lineno">Line 7:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the partial integral with respect to the given variable.</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:Gives the partial integral with respect to the given variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{Example|1=<code><nowiki>Integral[x³+3x y, x]</nowiki></code> gives'' <math>\frac{1}{4}x^4</math> + <math>\frac{3}{2}</math> x² y '' .}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{Example|1=<code><nowiki>Integral[x³+3x y, x]</nowiki></code> gives'' <math>\frac{1}{4}x^4</math> + <math>\frac{3}{2}</math> x² y '' .}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <<del class="diffchange diffchange-inline">Number a</del>>, <<del class="diffchange diffchange-inline">Number b</del>> ]</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <<ins class="diffchange diffchange-inline">Start x-Value</ins>>, <<ins class="diffchange diffchange-inline">End x-Value</ins>> ]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[<del class="diffchange diffchange-inline">a </del>, <del class="diffchange diffchange-inline">b</del>]'' with respect to the main variable.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral over the interval ''[<ins class="diffchange diffchange-inline">Start x-Value </ins>, <ins class="diffchange diffchange-inline">End x-Value</ins>]'' with respect to the main variable.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=This command also shadows the area between the function graph of ''f'' and the ''x''-axis.}}</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>:{{note| 1=This command also shadows the area between the function graph of ''f'' and the ''x''-axis.}}</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <<del class="diffchange diffchange-inline">Number a</del>>, <<del class="diffchange diffchange-inline">Number b</del>>, <Boolean Evaluate> ] </div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function>, <<ins class="diffchange diffchange-inline">Start x-Value</ins>>, <<ins class="diffchange diffchange-inline">End x-Value</ins>>, <Boolean Evaluate> ] </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[<del class="diffchange diffchange-inline">a </del>, <del class="diffchange diffchange-inline">b</del>]'' with respect to the main variable and shadows the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td><td class='diff-marker'>+</td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>:Gives the definite integral of the function over the interval ''[<ins class="diffchange diffchange-inline">Start x-Value </ins>, <ins class="diffchange diffchange-inline">End x-Value</ins>]'' with respect to the main variable and shadows the related area if ''Evaluate'' is ''true''. In case ''Evaluate'' is ''false'' the related area is shaded but the integral value is not calculated.</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>==CAS Syntax==</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function f> ]</div></td><td class='diff-marker'> </td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>;Integral[ <Function f> ]</div></td></tr>
</table>
Kimeswenger