Integration of ln(x + x^2)

  • Thread starter DigiDigi
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  • #1
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Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?
 

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  • #2
CompuChip
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There's always an easy check: differentiate the result.
It should give you ln(x + x²) back.
 
  • #3
tiny-tim
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Hi DigiDigi! :smile:
Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?
If you mean differentiation, then yes that's the correct application of the chain rule. :wink:

(What is worrying you about that? :confused:)
 
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  • #4
Curious3141
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Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?
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!
 
  • #5
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I try to integrate. Looks like I make mistake and differentiate it. We integrate using integration by parts?
 
  • #6
Curious3141
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I try to integrate. Looks like I make mistake and differentiate it. We integrate using integration by parts?
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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