\[ \int \frac {\cos (b x) \text {Si}(b x)}{x^2} \, dx \]
Optimal antiderivative \[ b \cosineIntegral \left (2 b x \right )-\frac {\cos \left (b x \right ) \sinIntegral \left (b x \right )}{x}-\frac {b \sinIntegral \left (b x \right )^{2}}{2}-\frac {\sin \left (2 b x \right )}{2 x} \]
command
integrate(cos(b*x)*sin_integral(b*x)/x^2,x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ -\frac {b x \operatorname {Si}\left (b x\right )^{2} - b x \operatorname {Ci}\left (2 \, b x\right ) - b x \operatorname {Ci}\left (-2 \, b x\right ) + 2 \, \cos \left (b x\right ) \sin \left (b x\right ) + 2 \, \cos \left (b x\right ) \operatorname {Si}\left (b x\right )}{2 \, x} \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (\frac {\cos \left (b x\right ) \operatorname {Si}\left (b x\right )}{x^{2}}, x\right ) \]