\[ \int \frac {S(b x)}{x} \, dx \]
Optimal antiderivative \[ \frac {i b x \hypergeom \left (\left [\frac {1}{2}, \frac {1}{2}\right ], \left [\frac {3}{2}, \frac {3}{2}\right ], -\frac {i b^{2} \pi \,x^{2}}{2}\right )}{2}-\frac {i b x \hypergeom \left (\left [\frac {1}{2}, \frac {1}{2}\right ], \left [\frac {3}{2}, \frac {3}{2}\right ], \frac {i b^{2} \pi \,x^{2}}{2}\right )}{2} \]
command
integrate(fresnels(b*x)/x,x)
Sympy 1.10.1 under Python 3.10.4 output
\[ \frac {\pi b^{3} x^{3} \Gamma ^{2}\left (\frac {3}{4}\right ) {{}_{2}F_{3}\left (\begin {matrix} \frac {3}{4}, \frac {3}{4} \\ \frac {3}{2}, \frac {7}{4}, \frac {7}{4} \end {matrix}\middle | {- \frac {\pi ^{2} b^{4} x^{4}}{16}} \right )}}{32 \Gamma ^{2}\left (\frac {7}{4}\right )} \]
Sympy 1.8 under Python 3.8.8 output
\[ \text {Exception raised: AttributeError} \]________________________________________________________________________________________