Lинтеграл ln в квадрате xdx

Два раза интегрируем по частям:

S ln^2 (x) dx = ln^2 (x) * x - Sx d ln^2 (x) = ln^2 (x) * x - S x*2*ln (x) * (1/x) dx =

= ln^2 (x) * x - 2S ln (x) dx = ln^2 (x) * x - 2ln (x) * x + 2Sx d ln (x) =

= ln^2 (x) * x - 2ln (x) * x + 2S 1 dx = ln^2 (x) * x - 2 ln (x) * x + 2x + c =

= x (ln^2 (x) - 2ln (x) + 2) + c