Chapter 17.4, Problem 40E

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

40. The flux line integral of F = $\langle e^{x-}{}^y,e^{y-x}\rangle$ where C is boundary of {(x, y) : 0 ≤ y ≤ x, 0 ≤ x ≤ 1}