Difference between revisions of "Integral Command"

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: Yields the indefinite integral for the given function.
 
: Yields the indefinite integral for the given function.

Revision as of 12:40, 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).
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