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Research Article | Open Access |

A New Test Method on the Convergence and Divergence for Infinite Integral

Author 1: Guocheng Li
International Journal of Advanced Computer Science and Applications (IJACSA) · Vol. 2, No. 11 · Published 2011

DOI: 10.14569/IJACSA.2011.021121

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Abstract

The way to distinguish convergence or divergence of an infinite integral on non-negative continuous function is the important and difficult question in the mathematical teaching all the time. Using the comparison of integrands to judge some exceptional infinite integrals are hard or even useless. In this paper, we establish the exponential integrating factor of negative function, and present a new method to test based on its exponential integrating factor. These conclusions are convenient and valid additions of the previously known results.

Keywords

Infinite integral Exponential integrating factor Convergence and divergence.

How to Cite this Article

Li, G. (2011). A New Test Method on the Convergence and Divergence for Infinite Integral. International Journal of Advanced Computer Science and Applications, 2(11). https://doi.org/10.14569/IJACSA.2011.021121

Li, Guocheng. "A New Test Method on the Convergence and Divergence for Infinite Integral." International Journal of Advanced Computer Science and Applications, vol. 2, no. 11, 2011, https://doi.org/10.14569/IJACSA.2011.021121.

@article{Li2011,
  title     = {A New Test Method on the Convergence and Divergence for Infinite Integral},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {2},
  number    = {11},
  year      = {2011},
  publisher = {The Science and Information Organization},
  author    = {Guocheng Li},
  doi       = {10.14569/IJACSA.2011.021121},
  url       = {https://doi.org/10.14569/IJACSA.2011.021121}
}

Open Access — licensed under a Creative Commons Attribution 4.0 International License. Unrestricted use, distribution, and reproduction in any medium, even commercially, as long as the original work is properly cited.

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Call for Papers - Important Dates

Volume 17 No. 11, November 2026
Paper Submission Due October 25, 2026
Review Notification November 15, 2026
Publication Date November 30, 2026
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