Use Stokes' Theorem to evaluate \iint_S \text{curl } \mathbf{F} \cdot d\mathbf{S}. \newline \mathbf{F}(x,y,z) = xyz \mathbf{i} + xy \mathbf{j} + x^2yz \mathbf{k} \newline S \text{ consists of the top and four sides (but not the bottom) of the cube with vertices } (±6, ±6, ±6), \text{ oriented outward.}