Trying to work through drill problem 3.9 from the 8th edition of the textbook "Engineering Electromagnetics by Hayt". this is the problem question: Given the field D = 6ρ sin(0.5φ) aρ + 1.5ρ cos(0.5φ) aφ C/m^2, evaluate both sides of the divergence theorem for the region bounded by ρ = 2, φ = 0, φ = π, z = 0, and z = 5. I am having trouble evaluating the surface integral side of the divergence theorem. My logic is that the surface integral is a sum of the surface integral through the half spherical section and the surface integral through the rectangular plane on the y = 0 axis. My main problem is trying to find the surface integral through the rectangular portion as I am not too sure how to go about it. any tips would be helpful! Login To add answer/comment