Consider the following indefinite integral.
$$\int \frac{6 x^3+ 4 x^2 - 45 x - 33 }{x^2-9}\, dx$$

The integrand decomposes into the form: $$a x + b + \frac{c}{x-3} +\frac{d}{x+3}$$ Compute the coefficients:
$a =$
$b =$
$c =$
$d =$

Now integrate term by term to evaluate the integral.
Answer: $+$ $C$