| Hosted by CoCalc | Download
%auto
%default_mode maxima

partfrac ( 1/(x^2*(x^2 + 1)), x);
1/x^2-1/(x^2+1)
f : integrate(x/(x^3 + 1), x);
log(x^2-x+1)/6+atan((2*x-1)/sqrt(3))/sqrt(3)-log(x+1)/3
g : diff(f, x)
2/(3*((2*x-1)^2/3+1))+(2*x-1)/(6*(x^2-x+1))-1/(3*(x+1))
ratsimp(g)
x/(x^3+1)