Find the Flux Of Across the Surface of the Solid Bounded by the Paraboloid

Short Answer

Find the flux of $\mathbf { F } ( x , y , z ) = \left( x + y z ^ { 2 } \right) \mathbf { i } + \left( x z ^ { 2 } + y \right) \mathbf { j } + \left( z + y x ^ { 2 } \right) \mathbf { k }$ across the surface of the solid bounded by the paraboloid $y = 4 - z ^ { 2 } - x ^ { 2 }$ and the $x z -$ plane.