Use the integral test $to$ determine whether the series $is$ convergent $or$ divergent.

${\displaystyle \underset{n=2}{\overset{}{}}}\frac{n^2}{n^3+1}$

Evaluate the following integral.

${\displaystyle \underset{2}{\overset{}{}}}\frac{x^2}{x^3+1}dx$

Since the integral

finite, the series $is$