Chapter 14, Problem 31RE

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

31.     ${\displaystyle \underset{C}{\oint }\left(x^3+xy\right)dy+\left(2y^2-2x^{2}y\right)}dx;$ C is the square with vertices (±1, ±1) with counterclockwise orientation.