compute the volume of the solid
bounded by the planes
x=0
×=7
z=y-2
z=-2y-2
z=0
z=2
We have $\displaystyle \begin{align*} 0 \leq x \leq 7 \end{align*}$, $\displaystyle \begin{align*} 0 \leq z \leq 2 \end{align*}$ and $\displaystyle \begin{align*} - \frac{z}{2} - 1 \leq y \leq z + 2 \end{align*}$. Set up a triple integral.