I have the integral of 1/(x-1)^2(x+1)^2

This separates to A/(x-1) + B/(x-1)^2 + C/(x+1) + D/(x+1)^2

Well, going right to where I am with it I have:

A(4x-4) + B(x^2+2x+1) + C(x^3-x^2-x+1)+D(x^2-2x+1)

This first summand above doesn't look right at all:

I won't bother solving the system in 4 unknowns which results from comparing

powers of x above in boths sides and/or choosing some specific values for x, since

you seem to be working with some calculator method of which I've no idea.

Tonio
The instructor very briefly demonstrated using RREF on problems that got as big as these. Unfortunately I have a TI-89, not an 84. By the time I figured out how to open my matrix editor the right way he was done.

What do I need to do to tackle this?

Also, what's the 'other' way?

Thanks!