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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=