Rewrite the Following Integral, Switching the Order of the Y

Essay

Rewrite the following integral, switching the order of the y and z integrations. $$\int _ { 0 } ^ { 2 } \int _ { - \sqrt { 4 - x ^ { 2 } } } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { - \sqrt { 4 - x ^ { 2 } - y ^ { 2 } } } ^ { \sqrt { 4 - x ^ { 2 } - y ^ { 2 } } } f ( x , y , z ) d z d y d x$$