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Use Stokes' Theorem to evaluate S curl F dS.

Use Stokes' Theorem to evaluate ∫∫S curl F · dS.
F(x,y,z) = x2y3z i + sin(xyz) j + xyz k
S is the part of the cone y2 = x2+z2 that lies between the planes y = 0 and y = 2, oriented in the direction of the positive y-axis.

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