Use Greens Theorem to evaluate the line integral along the given positively oriented curve. c xe

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Use Green’s Theorem to evaluate the line integral along the given positively oriented curve.

c xe–2x dx + (x4 + 2x2y2) dy, C is the boundary of the region between the circles x2 + y2 = 1 and x2 + y2 = 4


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

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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