Chapter 17.4, Problem 39E

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

39. The circulation line integral of F = $\langle x^2+y^2,4x+y^3\rangle$ where C is boundary of {(x, y) : 0 ≤ y ≤ sin x, 0 ≤ x ≤ π}