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)
typo: "od" -> "of"
Minor problem: double underscore in "r__rec". BTW, why not capitalize
to "R_rec"?
- Qian
On 12/21/23 02:24, Waldek Hebisch wrote:
On Wed, Dec 20, 2023 at 07:40:00AM +0800, Qian Yun wrote:
integrate(atan(x*(x^2+1)^(1/2)),x)
integrate(tanh(x)/(exp(x)+exp(2*x))^(1/2),x)
integrate((2+2*tan(x)+tan(x)^2)^(1/2),x)
...
These integrals are different between trunk and this patch.
(same as 1.3.9.)
Newer patch, fixes bunch of problems with previous patches.
Previous patch did not handle correclty the following:
integrate((14*x^2-18*x-4)/(x^4+(-7)*x^2+6*x+1), x)
-- poly x^4 - 7*x^2 + 6*x + 1, 4 real roots
integrate((-8*x^2-24*x-4)/(x^4+4*x^2+8*x+1), x)
-- poly x^4 + 4*x^2 + 8*x + 1, 2 complex roots and 2 real roots
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