Question: If f is continuous on [a, b] and there exist numbers a such that holds for all c (a, b), prove that

If f is continuous on [a, b] and there exist numbers a ‰  β such that
If f is continuous on [a, b] and there exist

holds for all c ˆˆ (a, b), prove that f(x) = 0 for all x ˆˆ [a, b].

.b f(x) dx + | f (x) dx = 0

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