Question

integral of (ln(lnx))/(x)

Answer 1

yes misprint on first one

Answer 2

was on phone had to repost

Answer 3

Let \(\Large\bf\sf u=\ln x\)

Oh oh, if we rewrite our integral like this,\[\Large\bf\sf \int\limits \frac{\ln(\ln x)}{x}dx\quad=\quad \int\limits \ln(\ln x)\left(\frac{1}{x}dx\right)\]It might be easier to see what's going on.

Answer 4

ok

Answer 5

partial fractions?

Answer 6

no sorry

Answer 7

integration by parts

Answer 8

\[\Large\bf\sf\int\limits\limits \ln(\color{royalblue}{\ln x})\left(\color{orangered}{\frac{1}{x}dx}\right)\]Are you able to find your du ok?\[\Large\bf\sf \color{royalblue}{u=\ln x}\]

Answer 9

Yes after you get your u-integral setup, you'll need to apply Integration-By-Parts.