Discovery of ambiguity in the typical process of integration in Integral calculus
Keywords:Notation for the operator of integration., Notation for differential of a variable, Notation for integral, Function, Differential calculus, Integral calculus
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
Bhattacharjee, P. R. (2012). Giving more realistic definitions of trigonometric ratios. Australian Senior Mathematics Journal 26(2), 21-27.
Bhattacharjee, P. R. (2017). Discovery of ambiguity in the traditional definitions of angle of diffraction and glancing angle. Optik 130, 702-707. DOI: 10.1016/j.ijleo.2016.10.114
Bhattacharjee, P. R. (2018). Discovery of misleading graph titles at many places of the traditional scientific literature. International Journal of Scientific World 6(1), 14-18. DOI: 10.14419/ijsw.v6i1.8556
Bhattacharjee, P. R. (2020). Discovery of Ambiguity in the Traditional Procedure of Handling Physical Quantities. International Journal of Physics and Chemistry Education 12(2), 35-40. DOI: 10.12973/ijpce/020572
Dasgupta, C. R. (1997). A Text Book of Physics, Part I. Calcutta, India: Book Syndicate Pvt. Ltd.
De, S. N. (1998). Higher Secondary Mathematics, Vol. II. Calcutta, India: Chhaya Prakashani.
Kachhava, C. M. (1990). Solid State Physics. New Delhi, India: Tata McGraw-Hill Publishing Company Limited.
Paul, N. I. (2019). Students’ understanding of calculus based kinematics and the arguments they generated for problem solving: The case of understanding Physics. Journal of Education in Science, Environment and Health 5(2), 283-295. DOI: 10.21891/ jeseh.581588
Zhang, Y., & Li, S. (2018). Application of higher Mathematics in different disciplines – Taking Chemical thermodynamics as an example. Chemical Engineering Transactions 66, 361-366. DOI: 10.3303/CET186606
Zill, D. G., & Wright, W. S. (2009). Single Variable Calculus: Early Transcendentals, Fourth edition. Sudbury, Massachusetts, USA: Jones and Bartlett Publishers.
How to Cite
Copyright (c) 2020 Pramode Ranjan Bhattacharjee
This work is licensed under a Creative Commons Attribution 4.0 International License.