Evaluate the Surface Integral $\iint _ { S } \left( y ^ { 2 } + z ^ { 2 } \right) d S$

Short Answer

Evaluate the surface integral $\iint _ { S } \left( y ^ { 2 } + z ^ { 2 } \right) d S$ , where S is the part of the paraboloid $x = 4 - y ^ { 2 } - z ^ { 2 }$ that lies in front of the plane $x = 0$ .