Explore BrainMass

Triple integral convergence

Hello. I'm trying to show if the triple integral:
(z^2)/[(x^2+y^2+z^2)^(3/2)] dV converges or diverges over the region:

x^2 + y^2 + z^2 <= 1. And if it converges, to what value?

I am curious as to how I would do this, and how does one generally show if an integral converges or diverges?


Solution Preview

Hello and thank you for posting your question to Brainmass!

The ...

Solution Summary

This shows how to determine whether a triple integral converges or diverges.