Let $f$ be Lebesgue integrable over $[a,b]$. Let $G(x)$ be defined for $x \in (a,b)$ by $$G(x) = \int_a^x f.$$ Is $G$ continuous? If not, find a counterexample.
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2026-04-09 17:07:03.1775754423
Continuous function defined on a Lebesgue integrable function?
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