Evaluate $\displaystyle \iint_S \nabla \times \mathbf{F} \cdot dS$ Where S consists of the top and four sides of the cube with vertices $\displaystyle (\pm1,\pm1,\pm1)$ oriented outwards.

$\displaystyle \mathbf{F}(x,y,z) = xyz\ \mathbf{i} + xy\ \mathbf{j} + x^2yz\ \mathbf{k}$

pls help, never worked with cubes before.