Discovery of ambiguity in the typical process of integration in Integral calculus

Abstract

Pramode Ranjan Bhattacharjee

The fundamental concept behind the integration operation in Integral calculus has been revisited.
Information gathered from traditional literature search regarding the typical process of integration
adopted by various authors to solve problem or in going through theoretical discussions has been first
shared with and subsequently put into context to the fundamental concept of integration operation in
Integral calculus to find that there exists ambiguity in the procedural steps of performing such integration
process. With a view to getting rid of the ambiguous procedure inherent in the process of integration, the
unambiguous procedural steps to be followed for solving such a problem as well as in going through
each of the relevant part of those theoretical discussions have been finally offered.

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