Find the Flux Of Across the Surface of the Solid Bounded By

Short Answer

Find the flux of $\mathbf { F } ( x , y , z ) = \left( x ^ { 3 } \right) \mathbf { i } + \left( y ^ { 3 } + \frac { 1 } { x + 3 } \right) \mathbf { j } + \left( z ^ { 2 } + \frac { x } { ( y + 3 ) ^ { 2 } } \right) \mathbf { k }$ across the surface of the solid bounded by $x ^ { 2 } + z ^ { 2 } = 9$ , and the planes $y = 0 , y = 2$ .