What's the demonstration that the antiderivative of a function is the integral?
Why is the integral the antiderivative of a function?
1
$\begingroup$
calculus
-
5It's known as the [fundamental theorem of calculus](http://en.wikipedia.org/wiki/Fundamental_theorem_of_calculus) and you can look it up in rigorous treatments of calculus. – 2012-11-11
-
0Any calculus text will have a proof. – 2012-11-12