It may be "branch cut strangeness", but if so it is very strange. The 
integrand is clearly well-behaved, and the integral,
while in terms of the incomplete gamma function, seems to be off the usual 
branch cut (negative real axis).

On Monday, 14 May 2012 15:35:01 UTC+1, Robert Dodier wrote:
>
> On 2012-05-14, kcrisman <kcris...@gmail.com> wrote: 
>
> > This is now http://trac.sagemath.org/sage_trac/ticket/12947.  We've had 
> > some issues with incomplete gamma functions translating properly in the 
> > past, and/or errors in Maxima, but I didn't have time to either look 
> into 
> > that or whether there was another ticket open for this, apologies if 
> there 
> > is one - just wanted to make sure this was opened. 
>
> My first guess is that there is branch cut strangeness going on. Sorry, 
> I don't have any details. But if you want to investigate, try 
> integrate(x*cos(x^3), x, 0, u) and then differentiate w.r.t. u, as a 
> point of departure. 
>
> best, 
>
> Robert Dodier 
>
>
>

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