Chapter 13.2, Problem 68E

Changing order of integration The following integrals can be evaluated only by reversing the order of integration. Sketch the region of integration, reverse the order of integration, and evaluate the integral.

68.     ${\displaystyle {\int }_0^2{\displaystyle {\int }_0^{4-x^2}\frac{x{e}^{2y}}{4-y}dydx}}$