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Mathematics 14 Online
OpenStudy (anonymous):

Integrate (dx/xlnx)???

OpenStudy (zzr0ck3r):

????????????/

OpenStudy (zzr0ck3r):

= d/lnx

OpenStudy (anonymous):

\[\int \frac{dx}{xlnx}\]?

OpenStudy (anonymous):

Hint: u substitute for ln(x)

OpenStudy (anonymous):

yes.. How to integrate that @Omniscience

OpenStudy (anonymous):

u = lnx => du/dx = 1/x

OpenStudy (zzr0ck3r):

this makes no since, please repost

OpenStudy (anonymous):

no sense?

OpenStudy (zzr0ck3r):

sense*

OpenStudy (anonymous):

u = ln(x) du = 1/x dx We can replace that in the integral equation \[\int\limits_{}^{}\frac{ 1 }{ u }du\]

OpenStudy (anonymous):

u takes the place of ln(x) and du takes the place of dx/x. YOu are still left with u in the denominator tho be careful

OpenStudy (zzr0ck3r):

what is dx/x?

OpenStudy (anonymous):

1/x dx

OpenStudy (anonymous):

a different way to write it

OpenStudy (zzr0ck3r):

o lil thought it was a typo sorry

OpenStudy (anonymous):

can you do the problem now?

OpenStudy (anonymous):

ok.. I got it u=ln x then du/dx=1/x so xdu=dx substitute the value it will be Integrate of du/u so the last answer is ln(lnx) it is correct???

OpenStudy (anonymous):

Ya thats correct. I've never seen u substitution setup quite like that but if it works in your head then more power to ya

OpenStudy (anonymous):

Thank all for helping.>>

OpenStudy (zzr0ck3r):

sorry Ive been drinking rum:)

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