I am trying to evaluate integral:
$\int \frac{x^2\log(x)}{x+1}dx$
But I have some problems with it. If I use Wolfram Alpha like this I get a result, but I need evaluate it by hand. Which method should I use?
If we represent it as:
$\int(x^2\log(x)\cdot d(\ln(x))dx$
then it is unclear what to dot here, even we can represent as power, take $x^2$ in power of $\log(x)$, not hint yet. Please help me to evaluate it.