Question

Use Green’s theorem to evaluate:
Integrate (xy + ye^(xy)) dx + (x^2 + xe^(xy)) dy:
Here C is the closed curve composed of three parts: first from (0; 0) to (3; 0) along the x axis, then along the circle of radius 3 counterclockwise to (0; 3), and finally the vertical line segment from
(0; 3) to (0; 0).