Int Sqrt{X E^{Ax Dx Frac{1}{A}\Sqrt{X}E^{Ax}+\Frac{I\Sqrt{\Pi}}{2a^{3/2}}\Text{Erf}\Left(i\Sqrt{Ax}\Right Text Erf}(X)=\Frac{2}{\Sqrt{\Pi}}\Int 0^X

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

Tags: exponentials

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