Computing triple integrals with Maple proceeds in a similar fashion. For example, the command to perform the following integral

is

> int(int(int(exp(x)*y*z^2,x=0..1),y=1..2),z=-1..1);

It is sometimes helpful when you aren't sure you have the command
right to use the `Int` command, which is an inert form of the `
int` command. *Inert* means that Maple just displays the integral
and does not try to evaluate it. Here is an example.

> Int(Int(Int(exp(x)*y*z^2,x=0..1),y=1..2),z=-1..1);

By using the inert `Int` command, you can easily check that the
limits and the order of integration are correct.

More complicated triple integrals can also be done. For example, the
volume of the region bounded by the paraboloid and the
plane **z=y+2** is given by the triple integral

This integral can be computed with the following Maple command.

> int(int(int(1,x=-sqrt(z-y^2)..sqrt(z-y^2)),z=y^2..y+2),y=-1..2);

Thu Apr 25 17:53:00 EDT 1996