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GATE EE 2018 Set 1 — Question 52

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NAT+2 / -0MediumLine, Surface & Volume IntegralsVector CalculusEngineering Mathematics

Engineering Mathematics → Vector Calculus → Line, Surface & Volume Integrals

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Question

As shown in the figure, CC is the arc from the point (3,0)(3,0) to the point (0,3)(0,3) on the circle x2+y2=9x^2 + y^2 = 9. The value of the integral ∫C(y2+2yx)dx+(2xy+x2)dy\int_C (y^2 + 2yx) dx + (2xy + x^2) dy is _____ (up to 2 decimal places).

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