Hello, I'm trying to integrate a product of irrational "polynomials" that have arisen through dimensional regularization. As a warmup, I'm trying to understand how to integrate: (w-a)^b (w-c)^d, where b and d are arbitrary numbers, possibly irrational. Mathematica can solve this indefinite integral, getting: (((a - w)/(a - c))^-b (-a + w)^b (-c + w)^(1 + d) Hypergeometric2F1[-b, 1 + d, 2 + d, (-c + w)/(a - c)])/(1 + d) Can anyone explain how the answer is obtained? Also, if there are any good tables (in print or online) or references on the subject of integrating irrational powers, I would be very interested. Thank you.