Chapter 14.2, Problem 15E

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 $R$.

${\displaystyle \underset{R}{\int }{\displaystyle \int \frac{y}{x^2+y^2}}}dA$

R: trapezoid bounded by $y=x,y=2x,x=1,x=2$