Hi,

I'm looking for the steps to solve this kind of questions.

Calculate the integral $\displaystyle \int \int_D \! (xy)^2 \, \mathrm{d}A$ where D is the region delimited by the following functions and relations: $\displaystyle y=4-x^2, y=x^2-4, x=1+y^2, x=-1-y^2$

When I try to solve it, I never find a way to a numeric answer. I always get a big function which I'm sure it's not.

Thank you so much for giving me a hint,

Bazinga