How to evaluate $\int_0^1 \frac{x^n}{x^2+x+1} \,dx$

How do I evaluate the integral$$I_n=\int_0^1 \frac{x^n}{x^2+x+1} \,dx$$I’ve tried so far integration by parts and partial fraction, each method has led to a dead end.

So how I should evaluate this using standard methods, if is possible of course.