Evaluate the Surface Integral $z ^ { 2 } + y ^ { 2 } = 1$

Short Answer

Evaluate the surface integral. S is the part of the cylinder $z ^ { 2 } + y ^ { 2 } = 1$ between the planes $x = 0$ and $x = 1$ in the first octant. $\iint _ { S } 4 \left( x ^ { 2 } y + z \right) d S$