Difference between revisions of "Integral Command"
From GeoGebra Manual
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Revision as of 13:40, 10 September 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.
- 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).