Chapter 15, Problem 3RQ

To determine

Whether the statement, “ ${\displaystyle \underset{1}{\overset{2}{\int }}{\displaystyle \underset{3}{\overset{4}{\int }}{x}^2{e}^y}dy}dx={\displaystyle \underset{1}{\overset{2}{\int }}{x}^2}dx{\displaystyle \underset{3}{\overset{4}{\int }}{e}^y}dy$” is true or false.