Basic Analysis I — Real Analysis · Problem 5.2.4

The Riemann Integral — Jiri Lebl

Mathematics — Real Analysis · mean-value-theorem-integrals

Problem

Prove the mean value theorem for integrals: If f:[a,b]→Rf : [a,b] \to \mathbb{R} is continuous, then there exists a c∈[a,b]c \in [a,b] such that ∫abf=f(c)(b−a)\int_a^b f = f(c)(b-a).

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