Basic Analysis I — Real Analysis · Problem 5.2.13

The Riemann Integral — Jiri Lebl

Mathematics — Real Analysis · step-functions

Problem

Using Exercise 5.2.12, show that a step function (see above) is integrable on every interval

[a,b]

. Furthermore, find the integral in terms of

a

b

, the endpoints of

I_k

and the

\alpha_k