Defining functions with integrals – math.stackexchange.com

Defining functions with integrals – math.stackexchange.com

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Is it okay to have a function $f(x)$ defined by $$f(x)=\int_0^x{x^2-x\,dx}\,?$$ If so, what would $f'(x)$ be? I've seen many questions like these on my math competitions (they give functions defined ...

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