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Mathematics, 06.06.2020 22:00 lukeperry

Let C be the closed, piecewise smooth curve formed by traveling in straight lines between the points (0,0,0), (2,0,4), (3,2,6), (1,2,2), and back to the origin, in that order. (Thus the surface S lying interior to C is contained in the plane z=2x.) Use Stokes' theorem to evaluate the integral: ∫C(zcosx)dx+(x2yz)dy+(yz)dz.

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