Chapter 5.2, Problem 27P

In Problems 25 to 28, sketch the area of integration, observe that it is like the areas in Figure 2.7, and so write an equivalent integral with the integration in the opposite order. Check your work by evaluating the double integral both ways. Also check that your computer gives the same answer for both orders of integration. ${\displaystyle {\int }_{x=0}^4}{\displaystyle {\int }_{y=0}^{\sqrt{x}}y\sqrt{x}dydx}$