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Quoting from Wikipedia

In mathematics, a nonelementary antiderivative is an antiderivative for which it can be shown that there exists no formula in terms of elementary functions

My question is regarding the phrase can be shown that. How can it be shown that a function is a nonelementary integrable?

Abhijit
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  • Maybe this [article][1] is helpful. [1]:http://www.claymath.org/programs/outreach/academy/LectureNotes05/Conrad.pdf – Easy Mar 18 '13 at 04:26
  • I believe you're looking for this: http://en.wikipedia.org/wiki/Risch_algorithm – awwalker Mar 18 '13 at 05:06

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