Determine Convergence or Divergence

[Ki-nana18]

Homework Statement

Determine if the series the summation form n=2 to infinity of n/((n²+1)ln(n²+1)) is convergent or divergent.

Homework Equations

The Attempt at a Solution

I applied the integral test and got positive infinity, so I it diverges. But I want to know if I'm right. Am I right?

 

[Dick]

Right. But you might want to say a few words about why you think the series is valid to treat with the integral test.