Chapter 8.6, Problem 6E

In Exercises 1-25. evaluate the double integral

${\displaystyle {\int }_R{\displaystyle \int f(x,y)dA}}$

for the function f(x, y) and the region R.

6. f(x, y) = $\frac{xy}{1+y^2}$; R is the rectangle defined by −2 ≤ x ≤ 2 and 0 ≤ y ≤ 1.