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