(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A triple integral, with the bounds, from outer to inner:

integrate from -1 to 1 with respect to x

integrate from 0 to 1-x^2 with respect to y

integrate from 0 sqrt (y) with respect to z

on the function x^2*y^2*z^2

2. Relevant equations

none

3. The attempt at a solution

I know what kind of a region it is. The region intersects at x^2+z^2=1. However, my attempts at solving this integral lead to a messy, impossible looking integral, and I am fairly sure that this integral requires no more than integration by parts. I've tried changing the bounds, such as letting D=half-circle in xz plane, and let the bounds on y be from z^2 to 0, but they lead to similar problems. What else can I do?....

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# Triple integral problem

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