Integral Command

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),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).