Only Question 31 and 33- Please answer in full. All material attached.

3140. Line integrals Use Green 's Theorem to evaluate the following line integrals. Assume all curves are oriented counterclockwise. A sketch is helpful. 31. jg (3y + 1, 4x2 + 3) - dr, where C is the boundary of the C rectangle with vertices (0, 0), (4, 0), (4, 2), and (0, 2) 33. jgxey dx + x dy, where C is the boundary of the region bounded C by the curves y = x2 , x = 2, and the xaxis