I need some help to evaluate the following integral.

> 
> $$\int\_{0}^{\infty}{\mathrm{d}x \over x^{\alpha}\left(x + 1\right)}$$ where $\alpha \in \left(0,1\right)$
> 
> 
> 

I've tried many ways (the best one seems to be developing by Taylor series) but actually I have no solution.

Some ideas?
Thank you.