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3. (8 points) Let F(:r,y) = mi + 2yj + 32k. Calculate the ux integral of F across S, where S is the cube with

3. (8 points) Let F(:r,y) = mi + 2yj + 32k. Calculate the ux integral of F across S, where S is the cube with vertices (:l:1, :l:1, :l:1), oriented outward. Do this computation directly, without using the Divergence Theorem (though you are free to use it to check your work)

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