Chapter 17.4, Problem 35E

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

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