\[ \int \frac {\sin (b x) \text {Si}(b x)}{x^3} \, dx \]
Optimal antiderivative \[ b^{2} \cosineIntegral \left (2 b x \right )-\frac {b \cos \left (b x \right ) \sinIntegral \left (b x \right )}{2 x}-\frac {b^{2} \sinIntegral \left (b x \right )^{2}}{4}-\frac {b \cos \left (b x \right ) \sin \left (b x \right )}{2 x}-\frac {\sinIntegral \left (b x \right ) \sin \left (b x \right )}{2 x^{2}}-\frac {\sin ^{2}\left (b x \right )}{4 x^{2}}-\frac {b \sin \left (2 b x \right )}{4 x} \]
command
integrate(sin_integral(b*x)*sin(b*x)/x^3,x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ -\frac {b^{2} x^{2} \operatorname {Si}\left (b x\right )^{2} - 2 \, b^{2} x^{2} \operatorname {Ci}\left (2 \, b x\right ) - 2 \, b^{2} x^{2} \operatorname {Ci}\left (-2 \, b x\right ) + 2 \, b x \cos \left (b x\right ) \operatorname {Si}\left (b x\right ) - \cos \left (b x\right )^{2} + 2 \, {\left (2 \, b x \cos \left (b x\right ) + \operatorname {Si}\left (b x\right )\right )} \sin \left (b x\right ) + 1}{4 \, x^{2}} \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (\frac {\sin \left (b x\right ) \operatorname {Si}\left (b x\right )}{x^{3}}, x\right ) \]