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DETAILS SCALC9 16.9.005.
Use the divergence theorem to calculate the surface integral $\iint_S \mathbf{F} \cdot d\mathbf{S}$; that is, calculate the flux of $\mathbf{F}$ across $S$.
$\mathbf{F}(x, y, z) = xye^{z^2}\mathbf{i} + xy^2z^2\mathbf{j} - ye^z\mathbf{k}$, $S$ is the surface of the box bounded by the coordinate planes and the planes $x = 7$, $y = 8$, and $z = 1$