I noticed a question on this forum, whether functions are known, for which it is known that a closed-form antiderivate exists, but the antiderivate is unknown.

Since this question would interest me as well, I wonder whether this question was deleted. I could not find it anymore.

To repeat the question

Are there functions with unknown antiderivates known to have a closed-form antiderivate ?

The answer should be no, since the Risch-algorithm finds the antiderivate, if it exists, but I am not sure.

  • 2
    $\begingroup$ Do you mean this question? $\endgroup$ Oct 25, 2016 at 9:14
  • $\begingroup$ @DanielFischer Yes, thank you! $\endgroup$
    – Peter
    Oct 25, 2016 at 9:23
  • 3
    $\begingroup$ peter, as you have over 10k, if you put a question in your Favorites list on Main, it remains on that list regardless of who deletes it; the listing is then outlined in a different color, possibly pink. Also, if an under 10k user favorites a post but it is deleted, they can no longer see it in their own favorites list but you can see it in their list by going to their profile. $\endgroup$
    – Will Jagy
    Oct 25, 2016 at 17:05


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