Problem $6$: Compute ${\displaystyle \underset{0}{\overset{1}{}}}{\displaystyle \underset{3y}{\overset{3}{}}}{e}^{x^2}dxdy$ by reversing the order of integration. Reverse the order of integration of the integrals:

${\displaystyle \underset{1}{\overset{2}{}}}{\displaystyle \underset{0}{\overset{lnx}{}}}f(x,y)dydx$

${\displaystyle \underset{0}{\overset{2}{}}}{\displaystyle \underset{x^2}{\overset{x}{}}}f(x,y)dydx.$