Thank you very much for your quick help.
At first I was hesitant and tried a few things.
Your answer has now convinced me.
Best regards, Andreas
Oscar schrieb am Dienstag, 24. Juni 2025 um 12:43:47 UTC+2:
> On Tue, 24 Jun 2025 at 11:38, 'Andreas Söll' via sympy
> <sy...@googlegroups.com> wrote:
> >
> > What am I doing wrong?
> >
> > >>> from sympy import * # Version 1.13.2
> > >>> x = symbols("x")
> > >>> f = x / (x+1)
> > >>> f
> > x/(x + 1)
> > >>> integrate(diff(f,x),x) # should be x/(x+1)
> > -1/(x + 1)
> >
> > diff seems correct - what about integrate?
>
> Antiderivatives are not unique.
>
> Generally
> diff(integrate(f(x), x), x) == f(x)
> but we don't necessarily have
> integrate(diff(f(x), x), x) == f(x)
> because they can differ by a constant of integration:
>
> >>> cancel(f - integrate(diff(f, x), x))
> 1
> >>> cancel(f - diff(integrate(f, x), x))
> 0
>
> --
> Oscar
>
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