Question

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

Answer 1

$\int \frac{(\log x{)}^2}{x}dx$
Put $\log |x|=t\Rightarrow \frac{1}{x}dx=dt$
$\Rightarrow \int \frac{(\log |x|{)}^2}{x}dx=\int t^{2}dt$
$=\frac{t^3}{3}+C$
$=\frac{(\log |x|{)}^3}{3}+C$