Find ${\displaystyle \underset{-}{\overset{}{}}}c{x}^2{e}^{-a{x}^2}dx$ where $a=364\mathrm{.}9,c=225\mathrm{.}5.$

Select one:

$a.0\mathrm{.}05081660$

$b.0\mathrm{.}02867020$

$c.0\mathrm{.}97071683$

$d.0\mathrm{.}54766832$

$e.0\mathrm{.}05734040$