A proof of method of cylindrical shells based on a generalized integral representation of additive interval function


Yuanhong Zhi, Yongkun Li




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.