Chapter 14, Problem 29RE

Green’s Theorem for line integrals Use either form of Green’s Theorem to evaluate the following line integrals.

29.     ${\displaystyle \underset{C}{\oint }x{y}^{2}dx+x^{2}ydy;}$C is the triangle with vertices (0, 0), (2, 0), and (0, 2) with counterclockwise orientation.