Re: "Complement" to the Risch Algorithm
- To: mathgroup at smc.vnet.net
- Subject: [mg131455] Re: "Complement" to the Risch Algorithm
- From: David Bailey <dave at removedbailey.co.uk>
- Date: Fri, 26 Jul 2013 05:46:34 -0400 (EDT)
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On 25/07/2013 02:58, Matthias Bode wrote: > Hola: > > Motivated by An analytical solution to an integral not currently in Mathematica? and by the interview with Mr. Daniel Lichtblau on omega tau three questions arose to me: > > 1. Are there theorems that prove that particular types of functions - e. g. x^(1/x) - can not be integrated? > > This question would clearly have to be asked with respect to some class of functions. For example, Exp[-x^2] isn't integrable, except that the special function Erf was introduced specifically to represent this integral! David Bailey http://www.dbaileyconsultancy.co.uk