Articles
On some improper integrals containing products between the tails of Maclaurin series for the sine and cosine functions
Published 2025-09-02
DOI:
https://doi.org/10.71712/42f7-cb32Keywords
- Improper integral,
- Maclaurin series,
- tails of series
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
Stewart, S. M. (2025). On some improper integrals containing products between the tails of Maclaurin series for the sine and cosine functions. Scientia Series A: Mathematical Sciences, 36, 1-7. https://doi.org/10.71712/42f7-cb32
Abstract
The values of twenty-six improper integrals containing products between the tails of Maclaurin series for the sine and cosine functions are evaluated using elementary methods. The values found extend work where the values for six improper integrals containing the squares of the tails of the Maclaurin series for the sine and cosine functions were recently reported.
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