Geodesic
A proof of method of cylindrical shells based on a generalized integral representation of additive interval function
The Teaching of Mathematics, XVII (2014) no. 1, p. 34

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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.
Classification : 1MSC97I50 2MathEducI55
Keywords: Additive interval function, method of cylindrical shells, Riemann integrable function. 
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Yuanhong Zhi; Yongkun Li. A proof of method of cylindrical shells based on a generalized integral representation of additive interval function. The Teaching of Mathematics, XVII (2014) no. 1, p. 34 . http://geodesic.mathdoc.fr/item/TM2_2014_XVII_1_a2/