DigiDigi
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Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?
Can you integrate ln(x + x^2) using integration by parts?
- Context: Undergrad
- Thread starter DigiDigi
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There's always an easy check: differentiate the result.
It should give you ln(x + x²) back.
It should give you ln(x + x²) back.
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Hi DigiDigi! 
If you mean differentiation, then yes that's the correct application of the chain rule.
(What is worrying you about that?
)
DigiDigi said:
If you mean differentiation, then yes that's the correct application of the chain rule.
(What is worrying you about that?
)- 2,864
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DigiDigi said:
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!
DigiDigi
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I try to integrate. Looks like I make mistake and differentiate it. We integrate using integration by parts?
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DigiDigi said:
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.