# Integration of ln(x + x^2)

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

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

tiny-tim
Homework Helper
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? )

• 1 person
Curious3141
Homework Helper
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!

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

Curious3141
Homework Helper
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.