Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "DNE".

$\displaystyle {\int_{{{2}}}^{{\infty}}}{\frac{{{5}}}{{{\left({x}+{4}\right)}^{{\frac{{3}}{{2}}}}}}}{\left.{d}{x}\right.}$