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