Asylum15
  • Asylum15
- Integral!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Asylum15
  • Asylum15
\[\int\limits \frac{ lnx }{ x }\]
Asylum15
  • Asylum15
Whos feelin brave? :D
TuringTest
  • TuringTest
I'm thinking by parts...

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More answers

anonymous
  • anonymous
u du
anonymous
  • anonymous
do it by substitution, let lnx= u
TuringTest
  • TuringTest
haha, oh yeah, I overthought it :P
Asylum15
  • Asylum15
Can U be lnx ? It's above the line
TuringTest
  • TuringTest
so?
anonymous
  • anonymous
|dw:1353166961045:dw|
anonymous
  • anonymous
|dw:1353035523772:dw|
anonymous
  • anonymous
Put ln(x) = u So: \(\frac{1}{x} \cdot dx =du\)
Asylum15
  • Asylum15
Thank you guys
anonymous
  • anonymous
Just try and if you face any problem, then do ask us...
Asylum15
  • Asylum15
Wait, can you expand on that for me? I have \[dx = \frac{ du }{ 1/x }\]
anonymous
  • anonymous
Are you converting a simple solution to hard one??
Asylum15
  • Asylum15
Looks like it xD
anonymous
  • anonymous
|dw:1353167337486:dw|
anonymous
  • anonymous
Sorry, my handwriting is not too good..
Asylum15
  • Asylum15
Is this a direct manipulation or a substitution?
anonymous
  • anonymous
Is this not Substitution ?? We are substituting u in place of x..
Asylum15
  • Asylum15
Ah, ok, so lnx. Differentiation of ln = 1 over So 1/x right?
anonymous
  • anonymous
Yes..
anonymous
  • anonymous
\[\frac{d}{dx}\ln(x) = \frac{1}{x}\]
Asylum15
  • Asylum15
So, let me just clarify. lnx / x = 1/x?
Asylum15
  • Asylum15
Where does the x under the line go?
anonymous
  • anonymous
See : \[\ln(x) = u\] Right ??
Asylum15
  • Asylum15
Yes
anonymous
  • anonymous
Now take derivative both the sides and tell what did you get??
Asylum15
  • Asylum15
Next, i've been taught to do du/dx
Asylum15
  • Asylum15
1/x . dx
anonymous
  • anonymous
Write them properly.. with LHS and RHS..
Asylum15
  • Asylum15
Little lost here, sorry :(
Asylum15
  • Asylum15
1/x . dx = du
anonymous
  • anonymous
Do you know how it came??
Asylum15
  • Asylum15
Yes i get this.
Asylum15
  • Asylum15
What is the next step?
anonymous
  • anonymous
Just use this to substitute these values in your question..
Asylum15
  • Asylum15
I think the way i've been taught is conflicting... I usually write dx = du / 1/x
Asylum15
  • Asylum15
If substituting

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