INTEGRATION $\int\frac{1}{\ln{x}}dx$?

Question

How do we evaluate $\int\frac{1}{\ln{x}}dx$?
Is it a special integral, or some simple function, or what substitution will help?

https://en.wikipedia.org/wiki/Logarithmic_integral_function – Jun 19 '18 at 12:40 — , Jun 19 '18 at 12:40

score 2 · Answer 1 · answered Jun 19 '18 at 12:41

2

It is a special function, the logarithmic integral. In particular, $\frac 1{\ln x}$ has no elementary primitive.

answered Jun 19 '18 at 12:41

1 Answers1