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Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?

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Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?

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CompuChip

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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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tiny-tim

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If you meanIntegration of ln(x + x^2) is it (1+2x)/(x+x^2)?

(What is worrying you about that? )

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Curious3141

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Are you trying to differentiate or integrate?Integration of ln(x + x^2) is it (1+2x)/(x+x^2)?

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!

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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.