plot or animate the approximation of an integral - Maple Help

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Student[MultivariateCalculus][ApproximateIntTutor] - plot or animate the approximation of an integral

 Calling Sequence ApproximateIntTutor() ApproximateIntTutor(f(x,y), x=a..b, y=c..d, z=e..f, coordinates)

Parameters

 f(x, y) - (optional) algebraic expression in two variables a..b, c..d - (optional) intervals x, y - (optional) variable z=e..f - (optional) range for plot coordinates - (optional) specify the coordinate system

Description

 • The ApproximateIntTutor(f(x,y)) calling sequence launches a tutor interface that computes, plots, and animates approximated definite integrals of f(x,y) on the interval x=a..b and y=c..d.
 If f(x,y), x=a..b, y=c..d, and coordinates are not specified, ApproximateIntTutor uses default parameters.
 • The coordinates option can be set to either $'\mathrm{coordinates}'='\mathrm{cartesian}'$ or $'\mathrm{coordinates}'='\mathrm{polar}'$. If polar is specified, the first variable is assumed to be the radial component.  The default is cartesian.
 • The ApproximateInt command offers equivalent capabilities to ApproximateIntTutor where interaction takes place in the worksheet interface. See the Student[MultivariateCalculus][ApproximateInt] help page.
 • To change the default colors of the plot objects, see the Student[SetColors] help page.
 • When the ApproximateIntTutor is running, interaction with the worksheet is not possible.

Examples

 > $\mathrm{with}\left(\mathrm{Student}[\mathrm{MultivariateCalculus}]\right):$
 > $\mathrm{ApproximateIntTutor}\left(\right)$
 > $\mathrm{ApproximateIntTutor}\left({x}^{2}+{y}^{2},x=-2..2,y=-2..2,z=0..3\right)$
 > $\mathrm{ApproximateIntTutor}\left(r,r=0..2,\mathrm{θ}=0..\frac{\mathrm{π}}{2},'\mathrm{coordinates}'='\mathrm{polar}'\right)$