Use Greens Theorem to evaluate C F dr. (Check the orientation of the curve before

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

F(x, y) = 〈y – In(x² + y²), 2 tan^–1(y/x)〉, C is the circle (x – 2)² + (y – 3)² = 1 oriented counterclockwise

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

Transcribed Image Text:

If | Pdx + Q dy = D ах ар ду dA