Hi pals , possible to check where did i went wrong ?
2 / s(1 + s^2) = A/s + B/(1 + s^2)
then , 2 = A(1 + s^2) + Bs
when s = 0 , A = 2
when s = 1 and A = 2 , B = -2
however i could not get B = -2s
Since any polynomial, with real coefficients, can be factored (in the real numbers) to powers of linear or powers of quadratic terms, those are all the terms you need.