Chapter 14.1, Problem 78E

Comparing Different Orders of Integration Using Technology In Exercises 77 and 78, (a) sketch the region of integration, (b) change the order of integration, and (c) use a computer algebra system to show that both orders yield the same value.

${\displaystyle {\int }_0^2{\displaystyle {\int }_{\sqrt{4-x^2}}^{4-(x^2/4)}\frac{xy}{x^2+y^2+1}}dydx}$