Evaluate $\iint _ { S } \mathbf { F } \cdot \mathbf { n } d \mathbf { S }$

Short Answer

Evaluate $\iint _ { S } \mathbf { F } \cdot \mathbf { n } d \mathbf { S }$ , where S is the cube bounded by the planes $x = \pm 1 , y = \pm 1$ and $z = \pm 1 , \mathbf { F } = x ^ { 2 } y \mathbf { i } + x y \mathbf { j } + y ^ { 2 } z ^ { 3 } \mathbf { k }$ , and n is the outward normal.