View source for Integral Command

<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|function}}
;Integral( <Function> )
:Gives the indefinite integral with respect to the main variable.
:{{example|1=<code><nowiki>Integral(x^3)</nowiki></code> yields <math>x^4 \cdot 0.25</math>.}}
;Integral( <Function>, <Variable> )
:Gives the partial integral with respect to the given variable.
:{{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 '' .}}
;Integral( <Function>, <Start x-Value>, <End x-Value> )
:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the main variable.
:{{note| 1=This command also shades the area between the function graph of ''f'' and the ''x''-axis.}}
;Integral( <Function>, <Start x-Value>, <End x-Value>, <Boolean Evaluate> ) 
: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.
==CAS Syntax==
In the [[File:Menu view cas.svg|link=|16px]] [[CAS View]] undefined variables are allowed as input as well.
:{{example|1=<code><nowiki>Integral(cos(a t), t)</nowiki></code> yields <math>\frac{sin(a t)}{a} + c_1</math>.}}

Furthermore, the following command is only available in the [[File:Menu view cas.svg|link=|16px]] ''CAS View'':

;Integral( <Function>, <Variable>, <Start x-Value>, <End x-Value> )
:Gives the definite integral over the interval ''[Start x-Value , End x-Value]'' with respect to the given variable.
:{{example|1=<code><nowiki>Integral(cos(t), t, a, b)</nowiki></code> yields <math>- sin(a) + sin(b)</math>.}}

{{note| 1=<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>
* 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>
</div>}}