Chapter 9.CR, Problem 11CR

To determine

The given statement is true or not and give the reason.

Statement: “${\displaystyle \underset{0}{\overset{4}{\int }}{\displaystyle \underset{1}{\overset{x}{\int }}\left(x+x{y}^2\right)}}dydx={\displaystyle \underset{1}{\overset{x}{\int }}{\displaystyle \underset{0}{\overset{4}{\int }}\left(x+x{y}^2\right)}}dxdy$”.