Integration Problem: Partial Fractions

[sdoug041]

Homework Statement

$$\int$$10/(x-1)(x^2-9)

Homework Equations

The Attempt at a Solution

I believe I should integrate by partial fractions here, but I'm not entirely sure on the notation. I've seen examples in my textbook that sometimes use B as opposed to Bx. Is this when that notation corresponds to a x^2?

Can this be done without having a factor of x in the numerator? If so would I just stick a +0x in the numerator before I separate?

 

[rock.freak667]

x²-9 can be factored as (x-3)(x+3)

if you had

$$\frac{1}{x-A)(ax^2+bx+c)}$$

and b²-4ac<0 i.e no real roots then the fractions would be

$$\frac{F}{x-A}+\frac{Gx+H}{ax^2+bx+c}$$