Study the convergence of

${\displaystyle \underset{-}{\overset{}{}}}\frac{1}{9x^2+4}dx$

and, if the integral is convergent, find its value.

a$)$ The integral is

divergent

b$)$ In the case that it is convergent, express its value as a multiple $r$ of $$ and give the exact value of $r.$

$r=$

Input $333$ if the integral is divergent.