Question

\[\Large \int \dfrac{dx}{\ln x}\]

Answer 1

set u=ln x then du/dx/u

Answer 2

you should be able to figure it out with u-sub

Answer 3

du/dx/u?

Answer 4

but then how can I use du? There is no place to put du

Answer 5

I may have overlooked this >.< gimme a minute getting some paper

Answer 6

Integration by parts?

Answer 7

It can't be expressed in terms of other functions.
That integral is the basis of the logarithmic integral function \[li(x)=\int_{0}^{x}\frac{dt}{ln(t)}\]

Answer 8

u = 1/ln x, dv = 1

Answer 9

No, I'm correct.

Answer 10

u=lnx
du=dx/u
Int 1/u dx=int du

Answer 11

Please explain more clear @inkyvoyd How to use u-substitution?

Answer 12

int du=u

Answer 13

gimme a minute lemme use latex

Answer 14

well then i get u = u it dont do anything.

Answer 15

I think @Xavier is correct, it can't be expressed

Answer 16

yes, xavier is in fact correct (facepalm)

Answer 17

http://www.wolframalpha.com/input/?i=integrate+1%2Fln+x

Answer 18

Thank you, here's gif

Answer 19

LOL