Chapter 13.4, Problem 40E

Changing the order of integration Rewrite the following integrals using the indicated order of integration and then evaluate the resulting integral.

40.     ${\displaystyle {\int }_0^1{\displaystyle {\int }_{-2}^2{\displaystyle {\int }_0^{\sqrt{4-y^2}}dzdydx}}}$ in the order dy dz dx