On 6/1/12 6:20 PM, Robert Dodier wrote:
> On 2012-06-01, ?????? ??????? <bankov_dmitrii at mail.ru> wrote:
>
>> integrate(sin(a*x^3)/x, x, 0, +inf);
>> maxima result: 0;
>> correct result: %pi * abs(a) / 6 / a;
> Thanks for this info. I confirm that it happens w/ Maxima 5.27.0.
How did you get this? I tried it with the current git version and I get
gamma(1/3)/6/a^(1/3)
when a > 0.
Looking at the code in defint.lisp, I see maxima has a special routine
(scaxn) to handle this type of integral. integrate(sin(a*x^n),x,0,inf)
-> gamma(1/n)/a^(1/n)/n*sin(%pi/2/n).
Ray