Use Greens Theorem to evaluate C F dr. (Check the orientation of the curve before
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Use Green’s Theorem to evaluate ʃC F · dr. (Check the orientation of the curve before applying the theorem.)
F(x, y) = (ex + x2y, ey – xy2), C is the circle x2 + y2 = 25 oriented clockwise
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
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