Can you show us what you have tried? (Hint: I would think about using integration by parts as a starter).
partial, but it becomes more complicated
Show us what you have tried.
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.