THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
A proof of method of cylindrical shells based on a generalized integral representation of additive interval function
Yuanhong Zhi, Yongkun Li

Abstract

In this paper we provide a generalized integral representation of additive interval function based on a fundamental integral representation of additive interval function given in Zorich's textbook, Mathematical Analysis, Vol I. Then we use it to give a rigorous proof of the method of cylindrical shells for the evaluation of volume of solid of revolution about vertical line.

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Keywords: Additive interval function; method of cylindrical shells; Riemann integrable function.

Pages:  34$-$38     

Volume  XVII ,  Issue  1 ,  2014