Problem 1731 (difficulty: 4/10)

a) \(\displaystyle \displaystyle \int\limits_{|z|=2} \frac{z^{10}}{(z-1)^7}dz=?\)    b) \(\displaystyle \displaystyle \int\limits_{|z|=21} \frac 1{z(z-1) \dots (z-20)}dz=?\)

Give me another random problem!