Chapter 5.2, Problem 32P

In Problems 29 to 32, observe that the inside integral cannot be expressed in terms of elementary functions. As in Problems 25 to 28, change the order of integration and so evaluate the double integral. Also try using your computer to evaluate these for both orders of integration. ${\displaystyle {\int }_{y=0}^1}{\displaystyle {\int }_{x=y^2}^1\frac{e^x}{\sqrt{x}}}dxdy$