Chapter 14.5, Problem 21E

Here is the region of integration of the integral

   ${\displaystyle {\int }_{-1}^1{\displaystyle {\int }_{x^2}^1{\displaystyle {\int }_0^{1-y}dzdydx.}}}$

Rewrite the integral as an equivalent iterated integral in the order

1. dy dz dx
   
2. dy dx dz
   
3. dx dy dz
   
4. dx dz dy
5. dz dx dy.