The Definite Integral

  • E. MahmudovEmail author


In this chapter we define Newton’s and Riemann’s integrals. We investigate the conditions under which they are equal. Necessary and sufficient conditions for the existence of the Riemann integral are formulated in terms of a partition of a given interval of the real line.


Rational Number Open Interval Open Covering Measure Zero Countable Union 
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Copyright information

© Atlantis Press 2013

Authors and Affiliations

  1. 1.Istanbul Technical UniversityIstanbulTurkey

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