Lebl-Basic-Analysis-I · Problem 5.3.8

The Riemann Integral

Mathematics · fundamental-theorem-of-calculus

Problem

Suppose f:[a,b]→Rf : [a,b] \to \mathbb{R} is continuous and ∫axf=∫xbf\int_a^x f = \int_x^b f for all x∈[a,b]x \in [a,b]. Show that f(x)=0f(x) = 0 for all x∈[a,b]x \in [a,b].

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