1. The problem statement, all variables and given/known data Derive equation below. It is the potential energy of an electron inside a nucleus assumed to be a uniformly charged sphere of R. 2. Relevant equations V'(r) =( -Ze2/4∏ε0R)(3/2 - (1/2)(r/R)^2) 3. The attempt at a solution So I understand that I need to find the ∫ from infinity to a point A (A exists inside the uniformly charged sphere) I did this by splitting it between infinity to B(on surface of sphere) and A to B. I did get the (-Ze^2/4∏ε0R)(1/2)(r/R)^2, but I just am lost for the 3/2. Any help would be wonderful. Thanks!