Seeking (x ^ 2 + 1) / (x ^ 2-2x + 1) ^ 2 indefinite integral

Seeking (x ^ 2 + 1) / (x ^ 2-2x + 1) ^ 2 indefinite integral

Original formula = ∫ (x ^ 2 + 1) DX / (x-1) ^ 4
=∫[1/(x-1)^2+2/(x-1)^3+2/(x-1)^4]d(x-1)
= -1/(x-1)-1/(x-1)^2-(2/3)/(x-1)^3 + C