Use the divergence theorem to find an integral over volume equivalent to the flux integral S...

 

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Use the divergence theorem to find an integral over volume equivalent to the flux integral S F. ds, where F(x, y, z) = (xz, y x, z y) and S is the closed surface of the cylindrical solid bounded by x + y = 4, z = 0, and z = 1. Find the limits of integration for the integral and simplify the integrand. You do not need to evaluate the integral. Use the divergence theorem to find an integral over volume equivalent to the flux integral S F. ds, where F(x, y, z) = (xz, y x, z y) and S is the closed surface of the cylindrical solid bounded by x + y = 4, z = 0, and z = 1. Find the limits of integration for the integral and simplify the integrand. You do not need to evaluate the integral.