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GATE EC 2016 Set 2 — Question 37

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NAT+2 / -0MediumLine, Surface & Volume IntegralsVector CalculusEngineering MathematicsGauss, Stokes & Green's Theorems

Engineering Mathematics → Vector Calculus → Gauss, Stokes & Green's Theorems

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Question

Suppose CC is the closed curve defined as the circle x2+y2=1x^2 + y^2 = 1 with CC oriented anti-clockwise. The value of ∮(xy2dx+x2ydy)\oint (xy^2 dx + x^2y dy) over the curve CC equals ________
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