28.5 Problem number 7

\[ \int \frac {\text {Si}(b x)}{x^2} \, dx \]

Optimal antiderivative \[ b \cosineIntegral \left (b x \right )-\frac {\sinIntegral \left (b x \right )}{x}-\frac {\sin \left (b x \right )}{x} \]

command

integrate(sin_integral(b*x)/x^2,x, algorithm="maxima")

Maxima 5.46 SBCL 2.0.1.debian via sagemath 9.6 output

\[ \frac {1}{2} \, b {\left (\Gamma \left (-1, i \, b x\right ) + \Gamma \left (-1, -i \, b x\right )\right )} - \frac {\operatorname {Si}\left (b x\right )}{x} \]

Maxima 5.44 via sagemath 9.3 output

\[ \int \frac {{\rm Si}\left (b x\right )}{x^{2}}\,{d x} \]________________________________________________________________________________________