a question about surface integrals, thank you so much

5. (a) Let E be the part of the surface z = x2 - y that lies inside the cylinder x2 + y = 1. Calculate (x2 + 32 + 2) cos(-x2 + y2 + 2) ds. E [15 marks] (b) Let F = xy i+ 2yz2j + zx2k and E be the sphere x2 + 2 + 22 = 1. Calculate the flux of F going out of E by the divergence theorem of Gauss or otherwise. [5 marks] Hint: The flux of F going out of E is defined by the surface integral (F . n)as. where n is the outward unit normal vector on E; the divergence theorem of Gauss tells us that such an integral equals JJJD div F dV, where D is the domain enclosed by E]