anonymous
  • anonymous
How do I show that I know the integral of ln(x)?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
\[\int\limits_{a}\ln(x){b} = ?\]
anonymous
  • anonymous
Do it by parts.
anonymous
  • anonymous
And how do I do that?

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anonymous
  • anonymous
u=lnx dv=dx du=dx v=x
anonymous
  • anonymous
Do you know what integration by parts is?
anonymous
  • anonymous
I think I do, but I cant recognize the term.
anonymous
  • anonymous
sorry, du=1/x dx
anonymous
  • anonymous
\[\int\limits v\frac{\mathbb{d}u}{\mathbb{d}x} = uv + \int\limits u\frac{\mathbb{d}v}{\mathbb{d}x}\] Where u and v are functions of x.
anonymous
  • anonymous
Both of those integrations are with respect to x, I neglected to mention!
anonymous
  • anonymous
You're going to need to get comfortable with the integration by parts formula, as INewton posted above. Review this section in your book until it, along with the parts I posted above, make sense.

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