Let f : R to R be a continuous function, and assume anti-derivative of f(x)dx from m to n≤ (n-m)^2 for every closed bounded interval [m,n] in R. Prove that f(x) = 0 for all x in R.(adsbygoogle = window.adsbygoogle || []).push({});

I tried using fundamental theorem of calculus but got stuck.

Any help/suggestion would be appreciated.

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# Homework Help: A Real Analysis question on anti-derivatives

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