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) = 〈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
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