97.2 Problem number 74

\[ \int \frac {\text {CosIntegral}(b x)}{x} \, dx \]

Optimal antiderivative \[ -\frac {i b x \hypergeom \left (\left [1, 1, 1\right ], \left [2, 2, 2\right ], -i b x \right )}{2}+\frac {i b x \hypergeom \left (\left [1, 1, 1\right ], \left [2, 2, 2\right ], i b x \right )}{2}+\mathit {EulerGamma} \ln \left (x \right )+\frac {\ln \left (b x \right )^{2}}{2} \]

command

integrate(Ci(b*x)/x,x)

Sympy 1.10.1 under Python 3.10.4 output

\[ - \frac {b^{2} x^{2} {{}_{3}F_{4}\left (\begin {matrix} 1, 1, 1 \\ \frac {3}{2}, 2, 2, 2 \end {matrix}\middle | {- \frac {b^{2} x^{2}}{4}} \right )}}{8} + \frac {\log {\left (b^{2} x^{2} \right )}^{2}}{8} + \frac {\gamma \log {\left (b^{2} x^{2} \right )}}{2} \]

Sympy 1.8 under Python 3.8.8 output

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