Math real analysis: Please precisely prove the following analysis questions, and explain the steps.

2. Suppose f(x) = 0 on [a, b] except at finitely many points. Show that f(r) is Riemann integrable over [a, b) and [ f(x) = 0. 3. Define the function h(r) on [-1, 1] as follows. If r = _ for some positive integer n, then let h(x) = 1. Otherwise, let h(x) = 0. Show that h(r) is Riemann integrable on [-1. 1]