Question

integration of logx^2/x

Answer 1

Hello!

$\int \dfrac{\sf log\:x^{2}}{\sf x} \sf dx$

⇒ $\int \dfrac{\sf 2\: log\:x}{\sf x} \sf dx$

Let $\bf{log\: x = t}$ :

$\dfrac{\sf 1}{\sf x}\sf dx = \sf dt$

⇒ $\sf 2 \int t\:dt = \sf 2 \dfrac{\sf t^{2}}{\sf 2} + \sf C$

⇒ $\boxed{\sf (log\:x)^{2} + \sf C}$

Cheers!