On Tue, 24 Jun 2025 at 11:38, 'Andreas Söll' via sympy
<sympy@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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