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Multivariable CalculusEasySurface Integrals, Stokes & Divergence

Surface Integrals, Stokes & Divergence · Easy problem

Let CC be the boundary of the rectangle 0≤x≤10 \le x \le 1, 0≤y≤20 \le y \le 2 in the plane z=3z = 3, oriented counterclockwise when viewed from above. Use Stokes' theorem to find ∮CF⋅dr\oint_C \mathbf F\cdot d\mathbf r for F=(−yz, x, 0)\mathbf F = (-yz,\ x,\ 0).