Basic Analysis I — Real Analysis · Problem 5.1.1

The Riemann Integral — Jiri Lebl

Mathematics — Real Analysis · darboux-sums

Problem

Define

f : [0,1] \to \mathbb{R}

f(x) := x^3

and let

P := \{0, 0.1, 0.4, 1\}

. Compute

L(P,f)

and

U(P,f)