Difference between revisions of "Integral Command"
From GeoGebra Manual
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;Integral[Function] | ;Integral[Function] | ||
: Yields the indefinite integral for the given function. | : Yields the indefinite integral for the given function. | ||
+ | :{{example|1=<div><code><nowiki>Integral[x³]</nowiki></code> yields '' x⁴ / 4 ''.</div>}} | ||
+ | ;Integral[ <Function>, <Variable> ] | ||
+ | :Returns the partial integral of the function with respect to the variable. | ||
+ | :{{example|1=<div><code><nowiki>Integral[x³+3x y, x]</nowiki></code> yields '' (x² (x² + 6y)) / 4 ''.</div>}} | ||
; Integral[Function, Number a, Number b] | ; Integral[Function, Number a, Number b] | ||
: Returns the definite integral of the function in the interval [''a , b'']. | : Returns the definite integral of the function in the interval [''a , b'']. |
Revision as of 15:31, 29 September 2011
- Integral[Function]
- Yields the indefinite integral for the given function.
- Example:
Integral[x³]
yields x⁴ / 4 .
- Integral[ <Function>, <Variable> ]
- Returns the partial integral of the function with respect to the variable.
- Example:
Integral[x³+3x y, x]
yields (x² (x² + 6y)) / 4 .
- 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.
- Example:
Integral[cos(x)]
returns sin(x)+c1.
- Integral[Function f, Variable t]
- Indefinite integral with respect to variable t.
- Example:
Integral[cos(a t), t]
returns sin(a t)/a+c2.
- Integral[Function, Number a, Number b]
- Returns the definite integral of the function in the interval [a , b].
- Example:
Integral[cos(x), a, b]
returns sin(b) - sin(a).
- Integral[Function f, Variable t, Number a, Number b]
- Definite integral from a to b with respect to variable t.
- Example:
Integral[cos(t), t, a, b]
returns sin(b) - sin(a).