One more data point that uses maxima:
sage: sage.calculus.calculus.nintegral(x^2*(log(x))^4/((x+1)*(1+x^2)),
x, 0, 1)
(0.07608822235542824, 4.544650350490897e-10, 231, 0)
This can also be computed via
f = x^2*(log(x))^4/((x+1)*(1+x^2))
f.nintegral(x,0,1)
Regards,
TB
On 24/10/2022 0:13, Pablo Vitoria wrote:
I am using Sage 9.7 running in Arch linux over WSL2
I get different results for an integral using numerical integration
(which seems to agree with Mathematica) and symbolic integration:
numerical_integral(x^2*(log(x))^4/((x+1)*(1+x^2)),0,1)
(0.07608822217400527, 1.981757967172001e-07)
integral(x^2*(log(x))^4/((x+1)*(1+x^2)),x,0,1)
6*I*polylog(5, I) - 6*I*polylog(5, -I) + 765/64*zeta(5)
integral(x^2*(log(x))^4/((x+1)*(1+x^2)),x,0,1).n()
0.440633136273036
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