Chapter 14.2, Problem 16E

Evaluating a Double IntegralIn Exercises 13–20, set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region $R$.

${\displaystyle \underset{R}{\int }{\displaystyle \int x{e}^y}}dA$

R: triangle bounded by $y=4-x,y=0,x=0$