Chapter 5.4, Problem 201E

In the following exercises, evaluate the triple integrals over the bounded region E of the form $E=\left\{\left(x,y,z\right)|1-y^2\le x\le y^2-1\le y\le 1,\le z\le 2\right\}$.

201. ${\displaystyle \underset{E}{\iiint }\left(x-yz\right)dV,}$ where $E=\left\{\left(x,y,z\right)-y^6\le x\le \sqrt{y},0\le y\le 1x,-1\le z\le 1\right\}$