What is the integration of $\int \frac{\tan x}{x}dx$?

Question

What is the integration of $\int \frac{\tan x}{x}dx$?

I have tried substitution, integration by parts, and other methods I could think of but nothing works. Please help.

Do you have any particular reason to believe that an answer exists? — Arthur, Sep 30 '20 at 07:05
Does this answer your question? Check if antiderivative is elementary or https://math.stackexchange.com/questions/362554/integral-int-frac-tan-xx-dx — Sumanta, Sep 30 '20 at 07:09
Check a closely-related post https://mathoverflow.net/questions/58966/solvability-in-differential-galois-theory — Sumanta, Sep 30 '20 at 07:12

Testop · Answer 1 · 2020-09-30T07:30:51.067

2

So the answer is that this is not an integrable function.

edited Sep 30 '20 at 07:30

answered Sep 30 '20 at 07:11

Testop

1 Answers1