Answer
$$ \displaystyle\int {x}^{2}{\cdot}{2}^{-{x}^{2}}\, \mathrm d x = {{e^ {- \ln 2\,x^2 }\,\left(\sqrt{\pi}\,e^{\ln 2\,x^2}\, \mathrm{erf}\left(\sqrt{\ln 2}\,x\right)-2\,\sqrt{\ln 2}\,x\right) }\over{4\,\left(\ln 2\right)^{{{3}\over{2}}}}} $$
Explanation
This page was created using
Integral Calculator