MathDB
Romanian District Olympiad

Source: Grade XII

March 17, 2010
functioncalculusabstract algebrareal analysisreal analysis unsolved

Problem Statement

Let a<c<b a < c < b be three real numbers and let f:[a,b]ā†’R f: [a,b]\rightarrow \mathbb{R} be a continuos function in c c. If f f has primitives on each of the intervals [a,c) [a,c) and (c,b] (c,b], then prove that it has primitives on the interval [a,b] [a,b].
Back to ProblemsView on AoPS