\[ \int x^3 \text {Si}(b x)^2 \, dx \]
Optimal antiderivative \[ \frac {x^{2}}{2 b^{2}}+\frac {3 \cosineIntegral \left (2 b x \right )}{2 b^{4}}-\frac {3 \ln \left (x \right )}{2 b^{4}}-\frac {3 x \cos \left (b x \right ) \sinIntegral \left (b x \right )}{b^{3}}+\frac {x^{3} \cos \left (b x \right ) \sinIntegral \left (b x \right )}{2 b}+\frac {x^{4} \sinIntegral \left (b x \right )^{2}}{4}-\frac {x \cos \left (b x \right ) \sin \left (b x \right )}{b^{3}}+\frac {3 \sinIntegral \left (b x \right ) \sin \left (b x \right )}{b^{4}}-\frac {3 x^{2} \sinIntegral \left (b x \right ) \sin \left (b x \right )}{2 b^{2}}+\frac {2 \left (\sin ^{2}\left (b x \right )\right )}{b^{4}}-\frac {x^{2} \left (\sin ^{2}\left (b x \right )\right )}{4 b^{2}} \]
command
integrate(x^3*sin_integral(b*x)^2,x, algorithm="fricas")
Fricas 1.3.8 (sbcl 2.2.11.debian) via sagemath 9.6 output
\[ \frac {b^{4} x^{4} \operatorname {Si}\left (b x\right )^{2} + b^{2} x^{2} + {\left (b^{2} x^{2} - 8\right )} \cos \left (b x\right )^{2} + 2 \, {\left (b^{3} x^{3} - 6 \, b x\right )} \cos \left (b x\right ) \operatorname {Si}\left (b x\right ) - 2 \, {\left (2 \, b x \cos \left (b x\right ) + 3 \, {\left (b^{2} x^{2} - 2\right )} \operatorname {Si}\left (b x\right )\right )} \sin \left (b x\right ) + 3 \, \operatorname {Ci}\left (2 \, b x\right ) + 3 \, \operatorname {Ci}\left (-2 \, b x\right ) - 6 \, \log \left (x\right )}{4 \, b^{4}} \]
Fricas 1.3.7 via sagemath 9.3 output
\[ {\rm integral}\left (x^{3} \operatorname {Si}\left (b x\right )^{2}, x\right ) \]