95.22 Problem number 278

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

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

command

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

Sympy 1.10.1 under Python 3.10.4 output

\[ \frac {b x^{4} {{}_{2}F_{2}\left (\begin {matrix} 1, 2 \\ \frac {3}{2}, 3 \end {matrix}\middle | {- b^{2} x^{2}} \right )}}{2 \sqrt {\pi }} \]

Sympy 1.8 under Python 3.8.8 output

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