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) = (xy + 2xz) i + (x2 + y2) j + (xy - z2) k, S is the surface of the solid bounded by the cylinder x2 + y2 = 4 and the planes z = y2 - and z = 0 

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