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Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits \frac{ lnx }{ x }\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0I'm thinking by parts...

Siddharth18
 2 years ago
Best ResponseYou've already chosen the best response.0do it by substitution, let lnx= u

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0haha, oh yeah, I overthought it :P

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0Can U be lnx ? It's above the line

Siddharth18
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1353035523772:dw

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

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

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0Wait, can you expand on that for me? I have \[dx = \frac{ du }{ 1/x }\]

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

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.2dw:1353167337486:dw

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.2Sorry, my handwriting is not too good..

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0Is this a direct manipulation or a substitution?

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

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0Ah, ok, so lnx. Differentiation of ln = 1 over So 1/x right?

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

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0So, let me just clarify. lnx / x = 1/x?

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0Where does the x under the line go?

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

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.2Now take derivative both the sides and tell what did you get??

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0Next, i've been taught to do du/dx

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.2Write them properly.. with LHS and RHS..

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0Little lost here, sorry :(

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.2Do you know how it came??

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0What is the next step?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.2Just use this to substitute these values in your question..

Asylum15
 2 years ago
Best ResponseYou've already chosen the best response.0I think the way i've been taught is conflicting... I usually write dx = du / 1/x
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