Off topic a little bit:
For parametric integrals, do you think these are good ideas?
1. Integration by substitution.
For 1/(a^5+x^5), recognize and transform it to 1/a^5*1/(1+(x/a)^5).
Substitute x/a with y.
2. partialFraction instead of current resultant method.
e.g. integrate(1/((x-a)*(x-b)*(x-c)*(x-d)),x)
- Qian
On 12/21/23 20:08, Waldek Hebisch wrote:
On Thu, Dec 21, 2023 at 06:16:16PM +0800, Qian Yun wrote:
Yes, with this patch, there's much improvement.
And only 2 cases are different, are they expected?
integrate(1/(a^5+x^5),x)
integrate((-x^4+p*x^2+1)^(1/2)/(x^4+1),x)
They both are parametric integrals and AFAICS we can not determine
configuration of roots, so transformations do no apply. There
is possible change because now 'real' is gone from rational
function integrator.
--
You received this message because you are subscribed to the Google Groups "FriCAS -
computer algebra system" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To view this discussion on the web visit
https://groups.google.com/d/msgid/fricas-devel/d64a4f5d-b37a-44dc-b6b5-5c0058c16c7a%40gmail.com.
