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Asylum15Best ResponseYou've already chosen the best response.0
\[\int\limits \frac{ lnx }{ x }\]
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Whos feelin brave? :D
 one year ago

TuringTestBest ResponseYou've already chosen the best response.0
I'm thinking by parts...
 one year ago

Siddharth18Best ResponseYou've already chosen the best response.0
do it by substitution, let lnx= u
 one year ago

TuringTestBest ResponseYou've already chosen the best response.0
haha, oh yeah, I overthought it :P
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Can U be lnx ? It's above the line
 one year ago

Siddharth18Best ResponseYou've already chosen the best response.0
dw:1353035523772:dw
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Put ln(x) = u So: \(\frac{1}{x} \cdot dx =du\)
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Just try and if you face any problem, then do ask us...
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Wait, can you expand on that for me? I have \[dx = \frac{ du }{ 1/x }\]
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Are you converting a simple solution to hard one??
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
dw:1353167337486:dw
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Sorry, my handwriting is not too good..
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Is this a direct manipulation or a substitution?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Is this not Substitution ?? We are substituting u in place of x..
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Ah, ok, so lnx. Differentiation of ln = 1 over So 1/x right?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
\[\frac{d}{dx}\ln(x) = \frac{1}{x}\]
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
So, let me just clarify. lnx / x = 1/x?
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Where does the x under the line go?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
See : \[\ln(x) = u\] Right ??
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Now take derivative both the sides and tell what did you get??
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Next, i've been taught to do du/dx
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Write them properly.. with LHS and RHS..
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
Little lost here, sorry :(
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Do you know how it came??
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
What is the next step?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.2
Just use this to substitute these values in your question..
 one year ago

Asylum15Best ResponseYou've already chosen the best response.0
I think the way i've been taught is conflicting... I usually write dx = du / 1/x
 one year ago
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