Calculate the Flux Of $\vec { F} = \left( x ^ { 2 } + z ^ { 2 } \right) y \vec { i }$

Short Answer

Calculate the flux of $\vec { F} = \left( x ^ { 2 } + z ^ { 2 } \right) y \vec { i }$ , through the plane rectangle z = 3, 0 $\le$ x $\le$ 2, 0 $\le$ y $\le$ 5, oriented in the positive z-direction.