Evaluate $$\int \frac{e^x+\ln x}{e^x+x^x} dx $$
Now, I am not quite sure how to evaluate this one . I have tried dividing both side with $e^x$ to try to simply it in a way . Also, I was looking at the derivative of $x^x=x^x(\ln x+1)$ and I was thinking maybe I can write it in some way to then use a substitution, but no luck. Any help will be appreciated!