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F(x, y, z) = xye^zˆi + xy^2 z^3ˆj − ye^zˆk,S is the surface of the box...

F(x, y, z) = xye^zˆi + xy^2 z^3ˆj − ye^zˆk,S is the surface of the box bounded by the coordinate planes and the planes x = 3, y = 2, and z = 1. Find the surface area using surface integrals. DO NOT use divergence theorem.

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