Evaluate the surface integral ??_S F ? dS where F = -2xyi + x^2j - 2yzk and S is the surface z = xe^y, 0 ? x ? 1, 0 ? y ? 1, with upwards orientation.
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Step 1: Calculate the normal vector to the surface: The normal vector is given by (-e^y, -xe^y, 1). Show more…
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