Let F(x, y, z) = z tan-1(y 2 ) i + z 3 ln(x 2 + 1)

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Let F(x, y, z) = z tan-1(y2 ) i + z3 ln(x2 + 1) j + z k. Find the flux of F across the part of the paraboloid x2 + y2 + z = 2 that lies above the plane z = 1 and is oriented upward.

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