1. The problem statement, all variables and given/known data Evaluate ∫∫σ3x2 + 3y2 + 3z2 dS where σ is the part of the cylinder x2 + y2 = 4 between the planes z = 0 , and z = 1, together with the top, and bottom disks. 2. Relevant equations Surface integrals, maybe divergence theorem? 3. The attempt at a solution I am having trouble knowing where to start with this one. I think I need to do a surface integral, but maybe with more than one surface? If that is right then what would I do for the cylinder side? How would I handle the z in the integral?