A function $f : \mathbb{C} \to \mathbb{C}$ is analytic in the open disk $|z|<1$. I have an integral $I = \int\limits_{C} f(z) \frac{P(z)}{Q(z}$ where $C$ is $|z| = 1$ and $P(z)$ and $Q(z)$ are polynomials. I'd like to ask how i could go about evaluating such an integral.
EDIT :
$f$ is defined and continuous on the closed unit disk.