Question

Integrate : ∫x( logx)2dx.

Answer 1

$2ln \: logx \: x \: dx \\ \frac{2}{2} logx {x}^{2} - \frac{2}{2} ln( \frac{1}{x} {x}^{2} ) dx \\ {x}^{2} logx - lnx \: dx \\ {x}^{2} log(x) - \frac{ {x}^{2} }{2 } + c$