# Simplify $\int_0^\infty \frac{\text{d}{x}}{e^x+x^n}$

I seem to have seen quite a lot of integrals in the form:

$$\int_0^\infty \frac{\text{d}x}{e^x+(1+x^n)}$$

But none of those hold a closed forms (at least to my knowledge)

$$\Large\color\red{\int_0^\infty \frac{\text{d}x}{e^x+x^n}}$$

Does a closed form exist of this integral? (in terms of $n$)