Express the Integral $\int _ { 0 } ^ { 2 } \int _ { x ^ { 2 } } ^ { 4 } \left( x y ^ { 2 } + x \right) d y d x$

question 165

Essay

Express the integral $\int _ { 0 } ^ { 2 } \int _ { x ^ { 2 } } ^ { 4 } \left( x y ^ { 2 } + x \right) d y d x$ as an equivalent integral with the order of integration reversed.