3. Evaluate the integral $\int_C \frac{z^2 e^{\pi z}}{2z - i} dz$, where $C$ is the circle
(a) $|z| = 3$,
(b) $|z + i| = \frac{1}{2}$
4. Evaluate the following integrals on the positively oriented given circles $C$
(a) $\int_C \left( z^3 + \frac{1}{z} \right) \cos \left( \frac{1}{z} \right) dz$, $C: |z| = 1$.
(b) $\int_C \frac{1 - 2z}{z^2 - 6z + 8} dz$, $C: |z + 1| = 2$.
(c) $\int_C \coth z \, dz$, $C: |z| = 4$.
(d) $\int_C \frac{\sin(\pi/z)}{(z - 2)(z - 3)} dz$, $C: |z| = 4$.
