Date of Publication :18th June 2019

Abstract: This paper presents a gentle approach to demonstrate that equivalent solutions exist for some specific integral Calculus problems. In order to prove the idea, an experimental study was conducted among 40 students, including both boys and girls, from higher secondary section. The 40 students were randomly selected and divided into 4 groups of 10, each under the guidance of a subject expert. The 4 groups were named as A, B, C and D. A common problem on integration was given to each group. The 4 groups were suggested to use any method of their choice to solve the problem. The solutions to the given integral calculus problem, the students came up with, were different from each other. In order to draw the conclusion on equivalent solutions, each of the results obtained by the individual group was evaluated on a specified interval to obtain the numerical value. Graphical methods were also used to verify whether the solutions from each group are equivalent or not. The numerical value and the graphical representation of the solutions had shown that the results obtained by the respective groups are equivalent. This shows the existence of equivalent solutions to some problems on integral calculus

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