Bridging Disks and Shells Methods: A Probabilistic Approach

Authors

  • Alexander Vaninsky Mathematics Department, Hostos Community College of The City University of New York, 500 Grand Concourse, Room B-409, Bronx, NY 10451, U.S.A.

DOI:

https://doi.org/10.26713/jims.v2i1.22

Keywords:

Probabilistic approach in calculus, Elementary and piecewise elementary functions as random variables, Integration by parts for Riemann and Lebesgue-Stieltjes integrals, Volumes of solids of revolution, Disks and shells methods equivalence

Abstract

Consideration of a function shaping the surface of a solid of revolution as a random variable allows for extension of the proof that the disks and the shells methods give the same result from monotonic continuous functions to a subclass of Riemann-integrable functions.

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CITATION

How to Cite

Vaninsky, A. (2010). Bridging Disks and Shells Methods: A Probabilistic Approach. Journal of Informatics and Mathematical Sciences, 2(1), 1–6. https://doi.org/10.26713/jims.v2i1.22

Issue

Vol. 2 No. 1 (2010)

Section

Research Articles

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