integral B [ 1/sqrt(x^2+y^2+(z-a)^2) ] dx dy dz , when B is the sphere of radius R around (0,0,0), a>R.
The Attempt at a Solution
I tried spherical coordinates for the integrand:
The problem is when I try to find the boundaries of the integral, it gets extremely complicated.
If I try to choose the trivial spherical coordinates to make B easier, then the integrand gets very complicated. So I can't seem to find a way out.