# closed form integral

February 01 2013 by
false
Maple

1

Dear friends,

every once in a while I come across an integral that Maple does not readily compute and post it here, so that your programmers may perhaps include it in the integration engine.

I am writing today concerning the integral int(x^q/(exp(x)-1), x=0..infinity); for q a real number. Maple can do this integral for rational q but not for irrational ones, e.g. try q=14/10 vs. q=sqrt(2). I hope you can make good use of this hint. The original computation for which is certainly valid for real q with q>1 can be found here.

The user experience at the Maple primes post editor compared to the one at stackexchange.com is middling to poor in my opinion. This observation is meant to encourage maintenance and amelioration. Best regards

Marko Riedel