On 7/30/10 4:33 PM, Feifei Li wrote:
> I tried the following integral in maxima:
>
> integrate(cos(t^3+x*t),t,0,inf)
>
> it should return airy function times %pi, however maxima fail to
> evaluate it. I also tried the same thing in maple 10 and mathematica
> 7, turns out maple failed, too but mathematica get the correct answer.
>
Maxima, as you've discovered, doesn't know that the above is an Airy
function.
> Does anybody know any trick to make this integration work in maxima?
> Should I load any special package to make it work? Thanks a lot.
>
I vaguely remember some package where you could define your own
integrals, but I can't remember what it is now.
But now that you know the integral is an Airy function, why do you still
need maxima to do it for you? Maxima does, however, know about Airy
functions and can do some symbolic and numeric operations with them.
"?? airy" will give some information about the Airy functions in maxima.
Ray