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Asylum15
 3 years ago
 Integral!
Asylum15
 3 years ago
 Integral!

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

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

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

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353166961045:dw

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Put ln(x) = u So: \(\frac{1}{x} \cdot dx =du\)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Just try and if you face any problem, then do ask us...

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Are you converting a simple solution to hard one??

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1353167337486:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Sorry, my handwriting is not too good..

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Is this not Substitution ?? We are substituting u in place of x..

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0\[\frac{d}{dx}\ln(x) = \frac{1}{x}\]

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

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0See : \[\ln(x) = u\] Right ??

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Now take derivative both the sides and tell what did you get??

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Write them properly.. with LHS and RHS..

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Do you know how it came??

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Just use this to substitute these values in your question..

Asylum15
 3 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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