Question

integral of (x^2-2x-1)/[(x-1)^2(x^2+1)]?
I tried using rational functions with A/x-1, B/(x-1)^2, and (Cx+D)/(x^2+1)...

Answer 1

for my systems I got:
0=A
0=-2A+C
1=2A+B-2C+D
-2=-2A+C-2D
-1=A+B+D

Answer 2

they don't work out though