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

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{Calculus1}\right]\right)\:$

$\mathrm{ApproximateIntTutor}\left(\right)$

$\mathrm{ApproximateIntTutor}\left(\cos \left(x\right)\right)$

$\mathrm{ApproximateIntTutor}\left(\cos \left(x\right)\,0..\frac{\mathrm{\pi }}{2}\right)$

$\mathrm{ApproximateIntTutor}\left(\cos \left(x\right)\,x=0..\frac{\mathrm{\pi }}{2}\right)$