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anonymous

  • 5 years ago

How do I show that I know the integral of ln(x)?

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  1. anonymous
    • 5 years ago
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    \[\int\limits_{a}\ln(x){b} = ?\]

  2. anonymous
    • 5 years ago
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    Do it by parts.

  3. anonymous
    • 5 years ago
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    And how do I do that?

  4. anonymous
    • 5 years ago
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    u=lnx dv=dx du=dx v=x

  5. anonymous
    • 5 years ago
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    Do you know what integration by parts is?

  6. anonymous
    • 5 years ago
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    I think I do, but I cant recognize the term.

  7. anonymous
    • 5 years ago
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    sorry, du=1/x dx

  8. anonymous
    • 5 years ago
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    \[\int\limits v\frac{\mathbb{d}u}{\mathbb{d}x} = uv + \int\limits u\frac{\mathbb{d}v}{\mathbb{d}x}\] Where u and v are functions of x.

  9. anonymous
    • 5 years ago
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    Both of those integrations are with respect to x, I neglected to mention!

  10. anonymous
    • 5 years ago
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    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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