$\displaystyle \int{\frac{1}{\log \left( \log \left( \log x \right) \right)}dx}=$...

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- Feb 1st 2013, 09:35 PMinoidintegral logarithm
$\displaystyle \int{\frac{1}{\log \left( \log \left( \log x \right) \right)}dx}=$...

- Feb 1st 2013, 10:46 PMchiroRe: integral logarithm
Hey inoid.

Can you show us what you have tried? (Hint: I would think about using integration by parts as a starter). - Feb 2nd 2013, 12:03 AMinoidRe: integral logarithm
partial, but it becomes more complicated

- Feb 2nd 2013, 12:04 AMchiroRe: integral logarithm
Show us what you have tried.

- Feb 3rd 2013, 12:47 AMJJacquelinRe: integral logarithm
Hi inoid !

The function 1/ln(ln(ln(x))) is integrable as x>e because continuous.

But the integral cannot be expressed in terms of a finite number of usual functions. What is more, I doubt that it could be expressed with a finite number of standard special functions.