\[ \int x^2 \text {Si}(a+b x) \, dx \]
Optimal antiderivative \[ -\frac {2 \cos \left (b x +a \right )}{3 b^{3}}+\frac {a^{2} \cos \left (b x +a \right )}{3 b^{3}}-\frac {a x \cos \left (b x +a \right )}{3 b^{2}}+\frac {x^{2} \cos \left (b x +a \right )}{3 b}+\frac {a^{3} \sinIntegral \left (b x +a \right )}{3 b^{3}}+\frac {x^{3} \sinIntegral \left (b x +a \right )}{3}+\frac {a \sin \left (b x +a \right )}{3 b^{3}}-\frac {2 x \sin \left (b x +a \right )}{3 b^{2}} \]
command
integrate(x^2*sin_integral(b*x+a),x, algorithm="maxima")
Maxima 5.46 SBCL 2.0.1.debian via sagemath 9.6 output
\[ \frac {1}{3} \, x^{3} \operatorname {Si}\left (b x + a\right ) - \frac {a^{3} {\left (i \, {\rm Ei}\left (i \, b x + i \, a\right ) - i \, {\rm Ei}\left (-i \, b x - i \, a\right )\right )} - 2 \, {\left ({\left (b x + a\right )}^{2} - 3 \, {\left (b x + a\right )} a + 3 \, a^{2} - 2\right )} \cos \left (b x + a\right ) + 2 \, {\left (2 \, b x - a\right )} \sin \left (b x + a\right )}{6 \, b^{3}} \]
Maxima 5.44 via sagemath 9.3 output
\[ \int x^{2} {\rm Si}\left (b x + a\right )\,{d x} \]________________________________________________________________________________________