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Multivariable & Vectormedium
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Use Green's Theorem to evaluate ∮Cxy dx+(x2+y) dy\oint_C xy \, dx + (x^2 + y) \, dy∮C​xydx+(x2+y)dy where CCC is the boundary of the region enclosed by y=x2y = x^2y=x2 and y=2xy = 2xy=2x (counterclockwise).