Question

This is a monster... Cal 3 if anyone is interested. I have to convert a triple integral from rectangular to cylindrical bounds and evaluate. Integral in the replies.

Answer 1

\[\int\limits_{-1}^{1} \int\limits_{0}^{\sqrt{1-y}} \int\limits_{0}^{x} x^2+y^2 dz dx dy\]

Answer 2

\[\begin{cases}x=r\cos\theta\\y=r\sin\theta\\
x^2+y^2=r^2\\z=z\\
dz~dx~dy=r~dr~d\theta\end{cases}\]