Question

Integrate the function: $\frac{(\log x)^2}{x}$

Answer 1

Let log |x| = t

∴ $\frac{1}{x}$dx = dt

$\Rightarrow \int \frac{(\log\mid x\mid)^2}{x}dx=\int t^2dt$
=$\frac{t^3}{3}+C$

=$\frac{(\log \mid x\mid )^3}{3}+C$