Evaluate the following integral: $ \int \frac{1+x^2 \ln x}{x+x^2 \ln x}dx $ [duplicate]

I've just learnt integration recently and I'm having trouble where to start solving it. Evidently this can't be solved with direct substitution (atleast in my knowledge) and I think I'm supposed to factorize/simplify this but I'm really not sure what to do. Thanks in advance!

To begin with, add and subtract $x$ in the numerator. Then you can try the substitution $t=\ln x$.

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