# Need some integration using a recursion relation help

#### JimB2002

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

#### Attachments

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#### romsek

MHF Helper
Have you tried integration by parts?

#### JimB2002

Have you tried integration by parts?
Yes, just gave me an unsolvable integral with 0 as the denominator?

#### Idea

Integration by parts with

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

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

topsquark