[Maxima] bug report

[Evgeniy Maevskiy]

r:integrate(sin(a*x^3)/x,x);
=>
-(%i*gamma_incomplete(0,%i*a*x^3)-%i*gamma_incomplete(0,-%i*a*x^3))/6

What is gamma_incomplete(0,z) where z in C ?

limit(r,x,inf);
=>
0

This is wrong.

limit(gamma_incomplete(0,-%i*t),t,inf);
=>
gamma_incomplete(0,infinity)

Wrong, because gamma_incomplete(0,infinity) not exists. This problem entails

limit(gamma_incomplete(0,%i*t),t,inf)-limit(gamma_incomplete(0,-%i*t),t,inf);
=>
0

02.06.2012 0:39, Банков Дмитрий пишет:
> integrate(sin(a*x^3)/x, x, 0, +inf);
> maxima result: 0;
> correct result: %pi * abs(a) / 6 / a;