Forgot : I have graphically checked the numerical quasi-equality of the
symbolical integral given by Mathematica and the numerical integral given
by Sage.
Le mardi 25 octobre 2022 à 15:46:13 UTC+2, Emmanuel Charpentier a écrit :
> Essentially correct, bit it’s a tad less simpler :
>
> sage: f(x
Essentially correct, bit it’s a tad less simpler :
sage: f(x) = x^2*(log(x))^4/((x+1)*(1+x^2))
sage: list(map(lambda u:u.integrate(x, 0, 1),
f(x).partial_fraction_decomposition()))
[-5/128*pi^5 + 45/64*zeta(5), 45/4*zeta(5)]
sage: list(map(lambda u:mathematica.Integrate(u, (x, 0, 1)).sage(),