Use the Integral Test to Determine Whether the Infinite Series $\sum _ { k = 1 } ^ { \infty } \frac { 5 k ^ { 2 } + 1 } { 2 k ^ { 3 } - 1 }$

Short Answer

Use the integral test to determine whether the infinite series $\sum _ { k = 1 } ^ { \infty } \frac { 5 k ^ { 2 } + 1 } { 2 k ^ { 3 } - 1 }$ is convergent or divergent.
Enter just "convergent" or "divergent".