Problem 1609 (difficulty: 3/10)

\(\displaystyle \frac1{2\pi i}\int_{|z|=5}\frac{\cos z}{z^2}\dz = ? \qquad \int_{|z|=3}\frac{e^z}{z^8}\dz = ? \qquad \int_{|z|=3}\frac{e^z}{(z-2)^3}\dz = ? \)

Give me another random problem!