Thanks!
It is clear that it is a bug provided by Maxima.
I have checked already in the developer track the already known Maxima bugs
in integrals and I have not found similar errors, so I have opened a ticket.
Juan Luis
El jueves, 16 de diciembre de 2021 a las 19:21:03 UTC+1, Emmanuel
Charpent
A nice one, indeed. Here, Sage seems to use Maxima’s integrator :
sage: table([[u,(f(x)-g(x)).integrate(x,algorithm=u)] for u in ["maxima",
"sympy", "giac", "fricas", "mathematica_free"]], header_row=["Algorithm",
"Indefinite integral"])
Algorithm Indefinite integral
+--
Le mercredi 15 décembre 2021 à 20:43:07 UTC+1, juanlui...@gmail.com a
écrit :
> See this example:
>
> f(x)=(x+sin(3*x))*exp(-3*x*I)
> g(x)=f(x).expand()
> integral(f(x)-g(x),(x,0,2*pi))
>
> The answer is I*pi, but it should be 0.
>
Huh ?
f has no poles ; therefore, the value of the integrate be
