Chapter 14.4, Problem 29E

Line integrals Use Green’s Theorem to evaluate the following line integrals. Unless stated otherwise, assume all curves are oriented counterclockwise.

29.     ${\displaystyle \underset{C}{\oint }\left(2x+e^{y^2}\right)dy-\left(4y^2+e^{x^2}\right)}dx$, where C is the boundary of the square with vertices (0, 0), (1, 0), (1, 1), and (0, 1)