Find the indefinite integral related between logarithm and exponential

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Evaluate :

$\int \frac{1+\ln x-\ln^{2} x}{e^{2x}+x^{2}\ln^{2}x}e^{x}dx$

I tried use this identity :

$\int e^{g(x)}(f'(x)+g'(x)f(x))dx=f(x)e^{g(x)}+C$

I also use sub $u=\ln x$ but this sub make integral so difficult

I think integral by part is better ?