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Multivariable CalculusMediumSurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Medium problem

Let F=(z,2x,y)\mathbf F = (z, 2x, y) and let CC be the triangle with vertices (1,0,0)(1,0,0), (0,1,0)(0,1,0), (0,0,1)(0,0,1), traversed in that order. Use Stokes' theorem to find ∮CF⋅dr\oint_C \mathbf F\cdot d\mathbf r.