Question

Find the antiderivative of the function f(x) =3Ln^2 x/x

Answer 1

I assume that the function is:
$f(x) = \frac{3 { ln(x) }^{2}}{x}$
To solve this integral substitute:
$ln(x) = t$
then:
$\frac{dt}{dx} = \frac{1}{x}$

So the integral would be equivalent of solving:
$g(t) = 3 {t}^{2} \: \: with \: respect \: to \: t$
and after integration of function g replace back t with ln(x). Answer would be:
${ ln(x) }^{3} + c$