Question

integrate:

\[\huge \int \frac{(\ln x)^2}{x}dx\]

Answer 1

\[\int\frac{(\ln x)^2}{x} dx\]
Put
\{\ln x=t\]
We get \[\frac 1 xdx=dt\]
So we have
\[\int t^2 dt\]
I think you can do now, can't you?

Answer 2

You have to substitute something here..

Answer 3

You know the derivative of lnx is 1/x so use this advantage..

Answer 4

ohhh of course u-sub

\[\huge \frac{(\ln x)^3}{3}?\]

Answer 5

Yeah, it's the right answer:D

Answer 6

Don't forget to add the constant

Answer 7

Oh it is about answer..

Answer 8

oh yeah + C of course haha