evaluating an integral over a circle |z|<1

Question

The expression integral of $\frac{(z^2)}{ (z - 3)}+ \log(z + 2)$ is to be evaluated over a unit circle in the complex plane. I understand the fact that the integral is possible over all zeroes of the function $f(z)$ but I can't see any zero within the unit circle. I therefore seek guidance on how to proceed from here. I have tried using normal integration without considering residues as of Cauchy integrals. Thank you in advance.