95.7 Problem number 73

\[ \int \frac {e^{c+b^2 x^2} \text {Erf}(b x)}{x^2} \, dx \]

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

command

integrate(exp(b**2*x**2+c)*erf(b*x)/x**2,x)

Sympy 1.10.1 under Python 3.10.4 output

\[ \frac {2 b^{3} x^{2} e^{c} {{}_{2}F_{2}\left (\begin {matrix} 1, 1 \\ 2, \frac {5}{2} \end {matrix}\middle | {b^{2} x^{2}} \right )}}{3 \sqrt {\pi }} + \frac {b e^{c} \log {\left (b^{2} x^{2} \right )}}{\sqrt {\pi }} \]

Sympy 1.8 under Python 3.8.8 output

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