Talk:Nonelementary integral

Latest comment: 11 years ago by 5.151.82.11 in topic Newsgroup discussion

"It can be shown (though not easily)" is there a citation for this line? I have been unable to find one 124.170.135.112 (talk) 17:37, 31 May 2008 (UTC)Reply

Well for instance (sin x)/x or exp(x2) don't have integrals in terms of elementary functions. In fact thst seems fairly obvious to me considering tht any of a number of things can stop one having an elementary integral so the chances of one of these happing in a big formula tends towards certainty. The mechanic might be a bit messy but the main theorem is the one that some such functions can't be integrated and it should at least be referenced and is missing - I'll put in a pointer to Liouvilles theorem about that. I don't know the theorem for the bit you wanted. Dmcq (talk) 10:56, 11 July 2010 (UTC)Reply

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I don't know whether this reference is acceptable, so I post it here instead of at the article.

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