1. The problem statement, all variables and given/known data Find a formula for: [itex]\int[/itex][itex]1/(z-a)m(z-b)n[/itex]dz around a ball of radius R, centred at z0 where |a| < R < |b| and m,n[itex]\in[/itex]N. 2. Relevant equations Not sure which equations to use, a cauchy integral formula maybe...? 3. The attempt at a solution I've attempted to split the fraction up into partial fractions, so that the integral is now: [itex]\int[/itex][itex]1/(z-a)m(b-a)n[/itex]+[itex]1/(z-b)n(b-a)m[/itex]dz but I don't think this has made it any easier to solve... any suggestions?