How to integrate a quadratic as the denominator.

[spanishmaths]

Homework Statement

I'm having major issues working out how to integrate
$$\int\frac{1}{F-Gx+x^{2}}dx$$ , where F and G are constants.

Homework Equations

The Attempt at a Solution

Maple tells me it is an inverse hyperbolic tangent of some description, and I know I have to complete the square and use substitution, but I really don't understand how! Any pointers would be great.
Is there a general formula for this sort of thing?
Thanks.

 

[rock.freak667]

If you complete the square of x^2-Gx+F what do you get?

 

[SVXX]

To be precise, to complete the square follow these steps -:
1. Take the coefficient of the x term, half it.
2. Square this halved coefficient and then add and subtract it to the expression.
3. Complete the square.

Surely you can finish this now.