geerky42
  • geerky42
\[\Large \int \dfrac{dx}{\ln x}\]
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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inkyvoyd
  • inkyvoyd
set u=ln x then du/dx/u
inkyvoyd
  • inkyvoyd
you should be able to figure it out with u-sub
geerky42
  • geerky42
du/dx/u?

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geerky42
  • geerky42
but then how can I use du? There is no place to put du
inkyvoyd
  • inkyvoyd
I may have overlooked this >.< gimme a minute getting some paper
anonymous
  • anonymous
Integration by parts?
anonymous
  • anonymous
It can't be expressed in terms of other functions. That integral is the basis of the logarithmic integral function \[li(x)=\int_{0}^{x}\frac{dt}{ln(t)}\]
anonymous
  • anonymous
u = 1/ln x, dv = 1
inkyvoyd
  • inkyvoyd
No, I'm correct.
inkyvoyd
  • inkyvoyd
u=lnx du=dx/u Int 1/u dx=int du
geerky42
  • geerky42
Please explain more clear @inkyvoyd How to use u-substitution?
inkyvoyd
  • inkyvoyd
int du=u
inkyvoyd
  • inkyvoyd
gimme a minute lemme use latex
geerky42
  • geerky42
well then i get u = u it dont do anything.
geerky42
  • geerky42
I think @Xavier is correct, it can't be expressed
inkyvoyd
  • inkyvoyd
yes, xavier is in fact correct (facepalm)
inkyvoyd
  • inkyvoyd
http://www.wolframalpha.com/input/?i=integrate+1%2Fln+x
geerky42
  • geerky42
inkyvoyd
  • inkyvoyd
LOL

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