Basic Analysis I — Real Analysis · Problem 5.2.15

The Riemann Integral — Jiri Lebl

Mathematics — Real Analysis · properties-of-integral

Problem

(Challenging) Suppose f∈R([a,b])f \in \mathcal{R}([a,b]), then the function that takes xx to ∣f(x)∣|f(x)| is also Riemann integrable on [a,b][a,b]. Then show the same inequality as Exercise 5.2.10.

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