Hello,

$\displaystyle \int\frac{-x^2-x-1}{5x^2+7x-6}dx$ =

$\displaystyle

\int[\frac{A}{5x-3} + \frac{B}{x+2}]dx$

and

$\displaystyle

B(5x-3) + A(x+2) = -x^2-x-1$

I'm having trouble solving $\displaystyle A$ and $\displaystyle B$. Is there a method for determining them? Or should I be approaching the problem differently altogether?

Thanks for your consideration,

Austin Martin