An neat approach to problem 2.17

[M0gician]

Instead of using brute force to calculate the double integral, we can actually prove the distribution of min(X_1, ..., X_n) is a Beta distribution where X_1,...,X_n are i.i.d. and X_1,...,X_n ~ U(0,1). Then, we can directly apply the Beta mean we derived from 2.16.