In this chapter we illustrate the definition of the definite integral of a realvalued function defined on a compact interval. We take a closer look at what kind of functions can be integrated and we develop a qualitative analysis of integrable functions, in a more precise way than is typical for calculus courses. The integral to be defined and studied here is now widely known as the Riemann integral.
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© 2009 Springer-Verlag New York
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Rădulescu, TL.T., Rădulescu, V., Andreescu, T. (2009). Riemann Integrability. In: Problems in Real Analysis. Springer, New York, NY. https://doi.org/10.1007/978-0-387-77379-7_9
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DOI: https://doi.org/10.1007/978-0-387-77379-7_9
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