[chocoholic4lyf]

Consider the vector field F = x²i+zk. Evaluate the surface integral of this field,
I = ʃF.dS
over the cylinder of radius 1 with the centre of its base at Cartesian co-ordinates
(0,0,0) and the centre of its top at (0,0,2),
i. by direct surface integration, and
ii. by using Gauss’s theorem

any help would be great thanks

[Raven66]

Similar solved problems on surface integrals are available at http://www.math24.net/surface-integrals-of-second-kind.html.