Endless loop during definte integral



Richard Hennessy a ?crit :
> I also noticed that it is not caused by the limits being inf and minf.
>
> assume(a>0,b>0,sigma>0,c<d)$
> f2(x):=(2*sigma^(3/2))/(%pi*x^4+2*%pi*sigma*x^2+%pi*sigma^2)$
> integrate(f2(a*x-b)*x^3,x,c,d);  /* loops long time */
>
> I am trying it and will let it run for a hour or two and see if I get an answer.
>
> Rich
>
>
>   
This is enough to get stuck :
integrate(1/(x^4+x^2+1),x,c,c+1);

However,
integrate(1/(x^4+x^2+1),x,10,11);
and
integrate(1/(x^4+x^2+1),x);
are ok.

Maxima version: 5.17.1
Maxima build date: 19:10 12/18/2008
host type: i686-pc-mingw32
lisp-implementation-type: GNU Common Lisp (GCL)
lisp-implementation-version: GCL 2.6.8

Eric