Use Greens Theorem to evaluate C F dr. (Check the orientation of the curve before applying the theorem.) F(x, y) = y 2

Use Green’s Theorem to evaluate ʃ_C F · dr. (Check the orientation of the curve before applying the theorem.)

F(x, y) = 〈y² cos x, x² + 2y sin x〉, C is the triangle from (0, 0) to (2, 6) to (2, 0) to (0, 0)

Data from Green's Theorem

Let C be a positively oriented, piecewise-smooth, simple closed curve in the plane and let D be the region bounded by C. If P and Q have continuous partial derivatives on an open region that contains D, then

If | Pdx + Q dy = D dA