What restrictions must we place on a real-valued function [tex]F[/tex] for(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

F(x) = \frac{d}{dx} \int_a^x F'(y)dy

[/tex]

to hold, where "[itex]\int[/itex]" is the Lebesgue integral?

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# Fundamental theorem of calculus in terms of Lebesgue integral

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