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Give a proof for Green's Theorem from Vector Calculus.

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First of all, we need to say that Green’s theorem relays between them two types of integrals: surface and curvilinear integral, being a particular situation of well-known Kelvin –Stokes theorem applied to a region in the xy-plane.
One idea to prove it is by conclusion using the Kelvin Stokes theorem and consider some three dimensional field where z is always 0 ( the third dimension of the field)....

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