95.20 Problem number 274

\[ \int \frac {e^{-b^2 x^2} \text {Erfi}(b x)}{x^3} \, dx \]

Optimal antiderivative \[ -\frac {\erfi \left (b x \right ) {\mathrm e}^{-b^{2} x^{2}}}{2 x^{2}}-\frac {b}{x \sqrt {\pi }}-\frac {2 b^{3} x \hypergeom \left (\left [\frac {1}{2}, 1\right ], \left [\frac {3}{2}, \frac {3}{2}\right ], -b^{2} x^{2}\right )}{\sqrt {\pi }} \]

command

integrate(erfi(b*x)/exp(b**2*x**2)/x**3,x)

Sympy 1.10.1 under Python 3.10.4 output

\[ - \frac {2 b {{}_{2}F_{2}\left (\begin {matrix} - \frac {1}{2}, 1 \\ \frac {1}{2}, \frac {3}{2} \end {matrix}\middle | {- b^{2} x^{2}} \right )}}{\sqrt {\pi } x} \]

Sympy 1.8 under Python 3.8.8 output

\[ \text {Exception raised: AttributeError} \]________________________________________________________________________________________