On Sunday, April 9, 2017 at 5:37:55 AM UTC+2, Andrey Novoseltsev wrote:
>
> As reported,
>
> var('r')
> assume(r>0)
> integrate(r * sqrt( (2*r*cos(x)/sqrt(3))^2 + ( 2/3 + 4*r*sin(x)/3 )^2 ),
> x)
>
> gives
>
> -1/12*(2*r*x - r*sin(2*x))*r
>
> which is indeed incorrect. Is the root cause known?
sqrt(trig) seems to be problematic in general with the Maxima integrator.
https://trac.sagemath.org/ticket/18821
https://trac.sagemath.org/ticket/18599
FriCAS does not better. I stopped SymPy after a minute.
Regards,
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