1. The problem statement, all variables and given/known data F(x,y,z) = xyzi+xyj+x^2yzk Surface is the top and four sides of cube with vertices at <+/-1,+/-1,+/-1> 2. Relevant equations ∫∫curlF * ds = ∫F*dr 3. The attempt at a solution At Z = 1, I broke up the surface into 4 lines, parameterized them and combined everything but it seems like the book may have been trying to get a simpler idea across in the case of a cube. I can't quite figure that out. Is there a simpler intuitive approach to finding the surface integral of a cube?