Chapter 17.4, Problem 34E

31–40. Line integrals Use Green’s Theorem to evaluate the following line integrals. Assume all curves are oriented counterclockwise. A sketch is helpful.

${\displaystyle \underset{C}{\oint }\frac{1}{1+y^2}dx+ydy}$, where C is the boundary of the triangle with vertices (0, 0), (1, 0), and (1, 1)