Basically my question is, how do we know that the antiderivitave of a function represents the area under that curve?(adsbygoogle = window.adsbygoogle || []).push({});

If you look graphically, you can see that the area of f(x)=x from 0 to 1 is 1/2 which agrees with (x^2)/2 but why?

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# How definite integration works?

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