Chapter 5.4, Problem 218E

In the following exercises, use two circular permutations of the variables x. y. and z to write new integrals whose values equal the value of the original integral. A circular permutation of x. y. and z is the arrangement of the numbers in one of the following orders: y, z, and x or z, x. and y.
218. ${\displaystyle \underset{-1}{\overset{1}{\int }}{\displaystyle \underset{0}{\overset{1}{\int }}{\displaystyle \underset{-y^6}{\overset{\sqrt{y}}{\int }}\left(x+yz\right)dxdydz}}}$