Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 10, 17 November 2023
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Approaches to solving several definite integrals with special functions
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Abstract
Calculus is the foundation of many natural sciences such as Physics. Calculus excels at calculating the area of irregularly shaped objects and thus it may be used in a vast array of domains. Because calculus is difficult to perform when combined with trigonometric and logarithmic functions, additional formulas are required to assist with calculations. By definition, limit of the sum of a function f(x) across given interval [a,b] is the definite integral. Notice the relationship between definite and indefinite integrals is as follow: result of a definite integral is a precise nice value, whereas an indefinite integral is expressed by a function. Their mathematical relationship is limited to computation regarding the Newton-Leibniz formula. This article describes only one of several methods for calculating definite integrals. Taylor expansion will also be used for auxiliary operations, while the relevant equations of Taylor expansion will also be presented in the text. It will also be learned through this paper that the result of the integral varies with π.
Keywords
definite integrals, improper integrals, calculus, special functions
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Data Availability
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- Volume Title
- Proceedings of the 2023 International Conference on Mathematical Physics and Computational Simulation
- ISBN (Print)
- 978-1-83558-131-5
- ISBN (Online)
- 978-1-83558-132-2
- Published Date
- 17 November 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/10/20230321
- Copyright
- 17 November 2023
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited