# Thread: Antiderivative for squared natural log denominator

1. ## Antiderivative for squared natural log denominator

Hello,

I can't figure out how to find the antiderivative for:
dx/x(lnx)^2

I looked through the textbook, solutions manual, and study guide manual for similar examples to go by, and also have looked through the sheets from the instructor, but cannot find anything about what to do with a natural log with a power involved and as the denominator.
This is a converge/diverge problem, also, for 3--infinity.

Thanks in advance for any help offered!

Jen

2. Originally Posted by Jenberl
Hello,

I can't figure out how to find the antiderivative for:
dx/x(lnx)^2

I looked through the textbook, solutions manual, and study guide manual for similar examples to go by, and also have looked through the sheets from the instructor, but cannot find anything about what to do with a natural log with a power involved and as the denominator.
This is a converge/diverge problem, also, for 3--infinity.

Thanks in advance for any help offered!

Jen
Make the substitution $u = \ln x$.

3. Originally Posted by mr fantastic
Make the substitution $u = \ln x$.

Thank you!
I got it right!
I was making it harder that it actually was.

Jen