Question

Rewrite the following integral using the order of integration dydxdz​

Answer 1

$y$ is bounded between the plane $y=z$ and the parabolic cylinder $y=1-x^2$. The other variables are bounded by constants, $-1\le x\le1$ and $0\le z\le1$, so the integral is

$\displaystyle \int_0^1 \int_{-1}^1 \int_z^{1-x^2} dy \, dx \, dz$