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"Complement" to the Risch Algorithm

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  • Subject: [mg131447] "Complement" to the Risch Algorithm
  • From: Matthias Bode <lvsaba at>
  • Date: Wed, 24 Jul 2013 22:03:47 -0400 (EDT)
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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?


2. Is there a theorem which proves that theorems as per 1. above can not exist?


3. Is this an undecidable problem?

Best regards,


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