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Erschienen in:
2015 | OriginalPaper | Buchkapitel
14. The Definite Integral
verfasst von : Miklós Laczkovich, Vera T. Sós
Erschienen in: Real Analysis
Verlag: Springer New York
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Abstract
In the previous chapter of our book, we became acquainted with the concept of the indefinite integral: the collection of primitive functions of f was called the indefinite integral of f. Now we introduce a very different kind of concept that we also call integrals—definite integrals, to be precise. This concept, in contrast to that of the indefinite integral, assigns numbers to functions (and not a family of functions). In the next chapter, we will see that as the name integral that they share indicates, there is a strong connection between the two concepts of integrals.