>
>
>
> >> Using SageMathCloud I was surprised to find this bug: 
> >> 
> >> integral(sqrt(cos(x)-cos(x)^3), x, 0, pi/2) 
> >> -2/3 
> >> 
> >> The correct result is 2/3 (luckily I noticed that something was wrong 
> >> because the result must be positive!) 
>
> > Usually such things are due to abs_integrate (see e.g. 
> > http://trac.sagemath.org/ticket/12731 and 
> > http://trac.sagemath.org/wiki/symbolics), but interestingly, 
> abs_integrate 
> > comes to the *rescue* when domain:real.  The problem here is due to 
> > domain:complex (which is our default). 
>
> After looking at this, I think it's a limit bug. domain:complex comes 
> into play because it causes integrate to return a different form of the 
> antiderivative, for which the computed limit at 0 is incorrect (although 
> the behavior of limit seems to be the same for domain:real and 
> domain:complex). 
>
> Reported as: https://sourceforge.net/p/maxima/bugs/3126/ 
>
>  

Thanks for following up on this - I must have not had time to report it 
that day :( 

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