Can you integrate ln(x + x^2) using integration by parts?

[DigiDigi]

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

 

[CompuChip]

There's always an easy check: differentiate the result.
It should give you ln(x + x²) back.

 

[tiny-tim]

Hi DigiDigi!

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.

(What is worrying you about that? )

 

[Curious3141]

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!

 

[DigiDigi]

I try to integrate. Looks like I make mistake and differentiate it. We integrate using integration by parts?

 

[Curious3141]

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.