1 ------ 3 x + 1
1/(x^3 + 1)
1/(3*(1 + x)) - (-2 + x)/(3*(1 + x^2 - x))
1 -2 + x --------- - -------------- 3*(1 + x) / 2 \ 3*\1 + x - x/
1/(1.0 + x^3)
1 -------------------- / 2 \ (1 + x)*\1 + x - x/
1/((1 + x)*(1 + x^2 - x))