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    Green's theorem- integral over an ellipse

    Homework Statement Use Green's theorem to find the integral ∫C (y^2dx+xdy) when C is the following curve (taken counterclockwise): the ellipse x^2/a^2 + y^2/b^2 =1.Homework Equations Green's theorem: ∫C Mdx+Ndy = ∫∫R (∂N/∂x-∂M/∂y)dA The Attempt at a Solution I tried parametrizing the ellipse as...
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