Difference between revisions of "Integral Command"
From GeoGebra Manual
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<noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | <noinclude>{{Manual Page|version=4.0}}[[Category:Manual (official)|{{PAGENAME}}]]</noinclude> | ||
{{command|function}} | {{command|function}} | ||
| − | + | ;Integral[Function] | |
| − | ; Integral[Function, Number a, Number b]: Returns the definite integral of the function in the interval [''a , b'']. | + | : Yields the indefinite integral for the given function. |
| + | ; Integral[Function, Number a, Number b] | ||
| + | : Returns the definite integral of the function in the interval [''a , b'']. | ||
: {{Note| This command also shadows the area between the function graph of ''f'' and the ''x''-axis.}} | : {{Note| This command also shadows the area between the function graph of ''f'' and the ''x''-axis.}} | ||
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: Returns the definite integral of the function in the interval [''a , b''] and shadows the related area when ''Evaluate = true''. In case ''Evaluate = false'' the related area is shaded but the integral value is not calculated. | : Returns the definite integral of the function in the interval [''a , b''] and shadows the related area when ''Evaluate = true''. In case ''Evaluate = false'' the related area is shaded but the integral value is not calculated. | ||
| − | == | + | ==CAS syntax== |
| − | ;Integral[Function]: Yields the indefinite integral for the given function. | + | ;Integral[ Function f ] |
| − | + | : Yields the indefinite integral for the given function. | |
| − | |||
| − | |||
; Integral[Function f, Variable t] | ; Integral[Function f, Variable t] | ||
:Indefinite integral with respect to variable ''t''. | :Indefinite integral with respect to variable ''t''. | ||
| + | ; Integral[Function, Number a, Number b] | ||
| + | : Returns the definite integral of the function in the interval [''a , b'']. | ||
; Integral[Function f, Variable t,Number a, Number b] | ; Integral[Function f, Variable t,Number a, Number b] | ||
:Definite integral from ''a'' to ''b'' with respect to variable ''t''. | :Definite integral from ''a'' to ''b'' with respect to variable ''t''. | ||
Revision as of 11:13, 9 August 2011
- Integral[Function]
- Yields the indefinite integral for the given function.
- Integral[Function, Number a, Number b]
- Returns the definite integral of the function in the interval [a , b].
- Note: This command also shadows the area between the function graph of f and the x-axis.
- Integral[Function, Number a, Number b, Boolean Evaluate]
- Returns the definite integral of the function in the interval [a , b] and shadows the related area when Evaluate = true. In case Evaluate = false the related area is shaded but the integral value is not calculated.
CAS syntax
- Integral[ Function f ]
- Yields the indefinite integral for the given function.
- Integral[Function f, Variable t]
- Indefinite integral with respect to variable t.
- Integral[Function, Number a, Number b]
- Returns the definite integral of the function in the interval [a , b].
- Integral[Function f, Variable t,Number a, Number b]
- Definite integral from a to b with respect to variable t.
