Finding a definite integral of a function

Asked Sep 04 '22 at 17:22

Active Sep 04 '22 at 19:00

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So, I was solving a physics problem, whereby I encountered a definite integral which looks like

$$\int_0^∞ {\frac {x^5}{e^x-1}} \,dx$$ I have no idea how to tackle this integral. I had found a similar question on the site, the solutions of which I find beyond my understanding. If possible can anyone suggest some elementary way to solve this integral, I am not quite familiar with stuffs like contour integral. Any help in this matter would be highly appreciated

edited Sep 04 '22 at 17:37

asked Sep 04 '22 at 17:22

Sam

1

Welcome to MSE. What do you men by “[similar question][1]”? – Another User Sep 04 '22 at 17:29
2

Welcome. This reminds me of classic zeta/eta integrals involving the gamma function. – FShrike Sep 04 '22 at 17:30
@AnotherUser I am sorry. I am unable to edit the link in a proper manner. – Sam Sep 04 '22 at 17:32
Not sure why but removing the gratuitous
at the start of the post fixed it.
– Kurt G. Sep 04 '22 at 17:36

Finding a definite integral of a function

0 Answers0