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

I need to calculate the integral where the region is given by the inside of x^2 + y^2 + z^2 = 2 and outside of 4x^2 + 4y^2 - z^2 = 3

2. Relevant equations

3. The attempt at a solution

So far, I think that in cylindrical coordinates (dzdrdtheta):

0 <= theta <= 2pi

sqrt(3)/2 <= r <= 1

-sqrt(2-r^2) <= z <= sqrt(2-r^2)

Are the bounds for the radius and z correct?

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# Homework Help: Integral in cylindrical coordinates

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