Express the integral as an iterated integral in six different ways, where e is the solid bounded by y=4-x^2-4z^2 and y=0

Assuming you need the integral expressing the volume of , the easiest setup is to integrate with respect to first.

This is done with either




Thanks to symmetry, integrating with respect to either or first will be nearly identical.

First, with respect to :




Next, with respec to :