$f(x)=e^{-x^{2}}$ for $x=1.1,1.2,1.3,1.4$ and $1.5,$ the value of $\int_{1.1}^{1.5} f(x) d x$ by Simpson's $1 / 3^{\mathrm{rd}}$ rule is________________
$f(x)=e^{-x^{2}}$ for $x=1.1,1.2,1.3,1.4$ and $1.5,$ the value of $\int_{1.1}^{1.5} f(x) d x$ by Simpson's $1 / 3^{\mathrm{rd}}$ rule is________________