Rational functions

>    f := (x^7-24*x^4-4*x^2+8*x-8)/(x^8+6*x^6+12*x^4+8*x^2);

f := (x^7-24*x^4-4*x^2+8*x-8)/(x^8+6*x^6+12*x^4+8*x^2)

>    pmint(f,x);

(4+8*x^2+6*x+3*x^3)/x/(x^4+4*x^2+4)+ln(x)