Integrals of cubic polynomials to arbitrary powers

*To*: mathgroup at smc.vnet.net*Subject*: [mg113061] Integrals of cubic polynomials to arbitrary powers*From*: Raymond Kilgour <rfk19 at uclive.ac.nz>*Date*: Tue, 12 Oct 2010 04:28:01 -0400 (EDT)

Hi I evaluated the following integral in Mathematica and came up with an appel= l Hypergeometric series representation. Can anybody explain the steps in be= tween? Mathematica states that the appell function is good for evaluating integral= s of cubic polynomials to arbitrary powers but it would be nice to know how=