Question

pulled it out of my head... don't even know why, but will see if I can solve it.

Answer 1

\[\int\limits_{ }^{ } \ln(\ln x)~dx\]\[\int\limits_{ }^{ } \ln(\ln x) dx=x \ln(\ln x)- \int\limits_{ }^{ }\frac{1}{\ln x} \frac{1}{x} x~dx\]

Answer 2

you can see what I am doing,..

Answer 3

\[v=\ln(x)~~~~x=e^v,~~~~dv=\frac{1}{x}~dx\]

Answer 4

\[\int\limits_{ }^{ } \ln(\ln x)~dx=x \ln(\ln x) - \int\limits_{ }^{ }\frac{e^v}{v}~dv\]

Answer 5

\(\Large \int \dfrac{1}{\ln x} dx\)
there is no answer to this integral in terms of standard functions

Answer 6

ohh, I did this before, it came out before in previous questions but it was just e^x/x dx,
\[\int\limits_{ }^{ } \ln(\ln x)~dx=x \ln(\ln x) - \sum_{n=0}^{\infty} \frac{n!}{v^n}\]

Answer 7

\[\int\limits_{ }^{ } \ln(\ln x)~dx=x \ln(\ln x) - \sum_{n=0}^{\infty} \frac{n!}{(\ln x)^n}~\]

Answer 8

I have dealt 2 problems before with the e^x/x.

Answer 9

http://openstudy.com/users/fbi2015#/updates/549c4aa2e4b0a96030d6174c

Answer 10

ofcourse you can use the series :)
i was talking about standard functions like
log f(x), e^{f(x)} , sin / cos /tan f(x), polynomials

Answer 11

oh no, series only.... good that x came to be e^v.

Answer 12

now though, I remember the integral of e^x/x .