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