Use the Integral Test to Determine If the Following Series $\sum _ { n = 1 } ^ { \infty } \frac { n } { \left( n ^ { 2 } + 1 \right) ^ { 2 } }$

Essay

Use the Integral Test to determine if the following series converges or diverges: $\sum _ { n = 1 } ^ { \infty } \frac { n } { \left( n ^ { 2 } + 1 \right) ^ { 2 } }$ .