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Re: "Complement" to the Risch Algorithm

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

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