Question

Solve the integral: (2x-3)/(x^3-x^2)

I'm stuck at finding A. I did partial fractions. I've already found B and C.

At x=1, C=-1
At x=0, B=3

Answer 1

Wolfram split it up into these 3 fractions:
http://www.wolframalpha.com/input/?i=partial+fractions+(2x-3)%2F(x%5E3-x%5E2)

notice, possible denominators could have been,
x, x^2, and (x-1)
How did you do your original split-up?

Answer 2

I did that.

∫A/x +∫B/x^2 +∫C/(x-1)
F(X)=A ln|x| + B/x + C ln|x-1| + C

(2x-3)/[x^2(x-1)] = [A(x^2)(x-1)]/[x] + [B(x^2)(x-1)]/[x^2] + [C(x^2)(x-1)]/[x-1]
2x-3 = A(x)(x-1) + B(x-1) + C(x^2)