let be the function f(x) so(adsbygoogle = window.adsbygoogle || []).push({});

f(x)=1 for every integer or rational.

f(x)=0 otherwise..

my questions are, what's the value of [tex] \int_{a}^{b}f(x)dx [/tex] and f'(x) (i think the second value is 0 for every x, but i'm not sure)

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# Derivative of the function

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