plot or animate an approximation to an integral - Maple Programming Help

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Student[Calculus1][ApproximateIntTutor] - plot or animate an approximation to an integral

 Calling Sequence ApproximateIntTutor(f, a..b) ApproximateIntTutor(f, var=a..b)

Parameters

 f - (optional) algebraic expression in one variable var a..b - (optional) interval var - (optional) variable

Description

 • The ApproximateIntTutor(f) command launches a tutor interface that computes, plots, and animates approximated definite integrals of f on the interval a..b. If f is an expression of the form Int(g, ...) or int(g, ...), the tutor computes, plots, and animates approximated definite integrals of g on the interval a..b.
 If f is not specified, ApproximateIntTutor uses a default function.
 If a..b is not specified, ApproximateIntTutor uses a default interval.
 If var is not specified, ApproximateIntTutor uses a default variable.
 • Any of the following methods can be used in the approximation:
 -   Riemann sums using left, right, upper, lower, midpoint, or random points
 -   Trapezoidal rule
 -   Simpson's rule or Simpson's 3/8 rule
 -   Boole's rule (sometimes known as Bode's rule)
 -   Newton-Cotes' formula

Examples

 > $\mathrm{with}\left(\mathrm{Student}[\mathrm{Calculus1}]\right):$
 > $\mathrm{ApproximateIntTutor}\left(\right)$
 > $\mathrm{ApproximateIntTutor}\left(\mathrm{cos}\left(x\right)\right)$
 > $\mathrm{ApproximateIntTutor}\left(\mathrm{cos}\left(x\right),0..\frac{\mathrm{π}}{2}\right)$
 > $\mathrm{ApproximateIntTutor}\left(\mathrm{cos}\left(x\right),x=0..\frac{\mathrm{π}}{2}\right)$