Use the Divergence Theorem to calculate the surface integral ∫∫S 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 = 9 and the planes x = -1 and x = 3.

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Advanced Math

Multivariable Calculus