The Riemann Integral

Tunc Geveci

doi:10.1007/978-3-319-27807-0_4

The Riemann Integral

Tunc Geveci

https://doi.org/10.1007/978-3-319-27807-0_4

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Publication Date: Jan 1, 2016

Affiliation: San Diego State University

#Riemann Integrable #Fundamental Theorem Of Calculus + Show 7 more

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Abstract

In this chapter we define the Riemann integral in terms of upper and lower sums and arbitrary Riemann sums. We show that a wide class of functions and their combinations are Riemann integrable. We prove the Fundamental Theorem of Calculus, the substitution rule and integration by parts. We also discuss improper integrals.

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