so the boundary should be:Quote:

$\displaystyle \int \int_{E} \int x^2e^y dV$

E is bounded by parabolic cylinder $\displaystyle z = 1-y^2$ and the plane z=0, x=1 and x=-1

$\displaystyle 0 \leq z \leq 1-y^2$

$\displaystyle -1 \leq y \leq 1$

$\displaystyle -1 \leq x \leq 1$

are they right?