Int X^2 E^{ Ax^2 Dx Dfrac{1}{4}\Sqrt{\Dfrac{\Pi}{A^3}}\Text{Erf}(X\Sqrt{A Dfrac{X}{2a}E^{ Ax^2},\\\Text Erf}(X)=\Frac{2}{\Sqrt{\Pi}}\Int 0^X E^{ T^2}Dt

Front	\[\int x^2 e^{-ax^2}\ {dx} \]
Back	\[ \dfrac{1}{4}\sqrt{\dfrac{\pi}{a^3}}\text{erf}(x\sqrt{a}) -\dfrac{x}{2a}e^{-ax^2},\\\text{ where erf}(x)=\frac{2}{\sqrt{\pi}}\int_0^x e^{-t^2}dt\]

Tags: exponentials

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