Need some integration using a recursion relation help

Nov 2019
3
0
Durham
Hi there, I have been given the integral I've attached below (I think at least), any help would be much appreciated
 

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romsek

MHF Helper
Nov 2013
6,665
3,002
California
Have you tried integration by parts?
 
Jun 2013
1,110
590
Lebanon
Integration by parts with

\(\displaystyle f(x)=x^n\)

\(\displaystyle g'(x)=\frac{x^2}{\sqrt{x^3+1}}\)
 
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