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anonymous
 5 years ago
How do I show that I know the integral of ln(x)?
anonymous
 5 years ago
How do I show that I know the integral of ln(x)?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{a}\ln(x){b} = ?\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0And how do I do that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u=lnx dv=dx du=dx v=x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you know what integration by parts is?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think I do, but I cant recognize the term.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits v\frac{\mathbb{d}u}{\mathbb{d}x} = uv + \int\limits u\frac{\mathbb{d}v}{\mathbb{d}x}\] Where u and v are functions of x.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Both of those integrations are with respect to x, I neglected to mention!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0You'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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