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Integration of ln(x + x^2)

  1. Aug 19, 2013 #1
    Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?
     
  2. jcsd
  3. Aug 19, 2013 #2

    CompuChip

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    There's always an easy check: differentiate the result.
    It should give you ln(x + x²) back.
     
  4. Aug 19, 2013 #3

    tiny-tim

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    Hi DigiDigi! :smile:
    If you mean differentiation, then yes that's the correct application of the chain rule. :wink:

    (What is worrying you about that? :confused:)
     
  5. Aug 19, 2013 #4

    Curious3141

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    Are you trying to differentiate or integrate?

    If it's the former, that's correct.

    If it's the latter, it isn't. But it's easy to do. Hint: ln(ab) = ln a + ln b. Factorise!
     
  6. Aug 19, 2013 #5
    I try to integrate. Looks like I make mistake and differentiate it. We integrate using integration by parts?
     
  7. Aug 19, 2013 #6

    Curious3141

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    Yes. The standard way to integrate ln x is to use integration by parts. Do you know how to do this?

    But first, do what I said in the previous post to split the logarithm up.
     
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