Demonstrate Green's theorem, \int_{S}(\nabla \times \mathbf{V}) \cdot d \mathbf{S}=\oint_{C} \mathbf{V} \cdot d \mathbf{r} for a rectangular surface S with vertices at (0,0), (2,0), (2, 1), (0, 1) for V(r)v?i –

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