thank you for the answer !
its so weird, sometimes it works sometimes doesnt.
now i upgraded to sage 9.4, and the last example that i showed perfectly
worked:
sage: f = -(x - 1)*((x - 1)^2/((x - 1)^2 + 1)^2 + 1/((x - 1)^2 +
1)^2)/sqrt((x - 1)^2 + 1)
sage: integrate(f, x)
1/sqrt(x^2 - 2*x + 2)
th
On Monday, 25 October 2021 at 08:49:30 UTC-7 zfrh...@gmail.com wrote:
> but integrals do work on vectors, it just didnt worked in this particular
> case.
>
Ah OK. That's convenient! In that case, you're probably running into an
integral that the backend doesn't know how to find an antiderivative
but integrals do work on vectors, it just didnt worked in this particular
case.
i also face this problem when trying to do integral on each axis, for
example:
x = var('x')
f = -(x - 1)*((x - 1)^2/((x - 1)^2 + 1)^2 + 1/((x - 1)^2 +
1)^2)/sqrt((x - 1)^2 + 1)
integrate(f, x)
output:
-integrate((x -
I don't think the integration backends or sage itself deal with integrals
of vector-valued functions. You can try to integrate each coordinate
individually: integrals of vector-valued functions are generally defined to
be the vector of integrals of each coordinate function. There will still be
