Use the Divergence Theorem to calculate the surface integral S F dS; that is, calculate

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Use the Divergence Theorem to calculate the surface integral ʃʃS F • dS; that is, calculate the flux of F across S.

F(x, y, z) = 3xy2 i + xez j + z3 k, S is the surface of the solid bounded by the cylinder y2 + z2 = 1 and the planes x = -1 and x = 2

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