# Thread: How can I find the following definite integral

1. ## How can I find the following definite integral

I am solving a paper where I am stuck at this point. I could go forward, but I don't want to skip the understanding of this point.

$g(x) = \frac{1}{x^{\eta}+\epsilon}$

$$\int^\infty_0\frac{g(x) x}{g(x) + A}$$

where A $\eta,\epsilon$ are constants.

Thanks

2. ## Re: How can I find the following definite integral

This might help

$\displaystyle \int_0^{\infty } \frac{1}{x^n+1} \, dx=\frac{\pi /n}{\sin (\pi /n)}$

$\displaystyle n\geq 2$