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\(\displaystyle \iiint_T\sqrt{x^2+y^2}z^4e^{z^4}dx\ dy\ dz\)

where

\(\displaystyle T=\{(x,y,z)\in\mathbb{R}^3:\sqrt{x^2+y^2}\leq z\leq 1\}\)

I have tried to change it to spherical and cylindrical coordinates but... nothing

Can someone help me?

Thanks