International Journal of Science, Engineering and Computer Technology

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The Development of Cauchy, Riemann and Lebesgue Integral


Affiliations
1 Department of Mathematics, C.R.M. Jat P.G. College, Hisar, Haryana, India
     

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In this paper, the development of integral of a real variable is examined from the definition given by Cauchy to the definition introduced by Lebesgue. The limitations of Riemann Integral are observed. An example is also given to show then arrow class of Riemann Integral. The large class of Lebesgue Integral is also discussed.

Keywords

Integral Development.
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  • The Development of Cauchy, Riemann and Lebesgue Integral

Abstract Views: 230  |  PDF Views: 0

Authors

Vinod Kumar
Department of Mathematics, C.R.M. Jat P.G. College, Hisar, Haryana, India

Abstract


In this paper, the development of integral of a real variable is examined from the definition given by Cauchy to the definition introduced by Lebesgue. The limitations of Riemann Integral are observed. An example is also given to show then arrow class of Riemann Integral. The large class of Lebesgue Integral is also discussed.

Keywords


Integral Development.