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Antiderivatives and Riemann integrals: some observations

The fundamental theorem of calculus sets a link between the concept of antiderivative and of Riemann integral:

Despite this important link, the two concepts remain quite different: the algorithm used to calculate antiderivatives produces a class of functions; the one used to calculate Riemann integrals produces a real number.

Besides this we want to point out the following facts.

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first published on january 07 2003 - last updated on september 01 2003