28.12 Problem number 41

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

Optimal antiderivative \[ \frac {\sinIntegral \left (b x \right )^{2}}{2} \]

command

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

Maxima 5.46 SBCL 2.0.1.debian via sagemath 9.6 output

\[ \frac {1}{2} \, \operatorname {Si}\left (b x\right )^{2} \]

Maxima 5.44 via sagemath 9.3 output

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