1. Integration help!

I'm using the integral rule to determine at what value a series converges....but I only need help solving the integral. I can handle the rest.

I'm stuck on what to do:

integral from 6 to "b" of: 1/(x(ln(x))^2)

thank you!

2. Originally Posted by amaya
I'm using the integral rule to determine at what value a series converges....but I only need help solving the integral. I can handle the rest.

I'm stuck on what to do:

integral from 6 to "b" of: 1/(x(ln(x))^2)

thank you!
There are many approaches to finding $\displaystyle \int \frac{1}{x (\ln x)^2} \, dx$. One of them is to make the substitution $\displaystyle u = \ln x$.