Research Article | Open Access | Download Full Text
Volume 2 | Issue 3 | Year 2024 | Article Id: MS-V2I3P102 DOI: https://doi.org/10.59232/MS-V2I3P102
Some Unusual Integrals and their Evaluation
SN Maitra
| Received | Revised | Accepted | Published |
|---|---|---|---|
| 13 Jul 2024 | 12 Aug 2024 | 12 Sep 2024 | 30 Sep 2024 |
Citation
SN Maitra. “Some Unusual Integrals and their Evaluation.” DS Journal of Modeling and Simulation, vol. 2, no. 3, pp. 13-17, 2024.
Abstract
The first integral that is available in textbooks of Integral Calculus in definite integral form is evaluated in close form. Thereafter, the upper and lower limits are assigned to the integral, which is evaluated obviously without the use of the properties of the definite integral. The process of integration calls for change of the variable by substitution and separation of the integrand into partial fractions. The second integral is evaluated in close form and can not be evaluated in definite integral form by use of properties of the definite integral. Some more integrals that have not yet found a home in the literature are also evaluated.
Keywords
Problems, Integrals, Evaluations, Partial fractions, Definite Properties
References
[1] S. Narayanan, and T.K. Manicavachagom Pillay, Calculus: Volume 2, S. Viswanathan Printers & Publishers Pvt Ltd, 1996.
[2] R. Bharadwaj, Mathematics Guidelines with Formulae and Definitions, Computech Publication Ltd. New Asian, New Delhi, 1988.