$\int _ { 8 / 3 } ^ { \infty } ( 3 x + 1 ) ^ { - 3 / 2 } \mathrm { dx }$

Short Answer

$\int _ { 8 / 3 } ^ { \infty } ( 3 x + 1 ) ^ { - 3 / 2 } \mathrm { dx }$ Enter your answer as just a reduced fraction or the word "divergent".