IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/6049367.html
   My bibliography  Save this article

A Fundamental Criteria to Establish General Formulas of Integrals

Author

Listed:
  • Rania Saadeh
  • Mohammad Abu-Ghuwaleh
  • Ahmad Qazza
  • Emad Kuffi
  • Abdel-Maksoud A. Soliman

Abstract

In this study, new master theorems and general formulas of integrals are presented and implemented to solve some complicated applications in different fields of science. The proposed theorems are considered to be generators of new problems, including difficult integrals with their exact solutions. The results of these problems can be obtained directly without the need for difficult calculations. New criteria for treating improper integrals are presented and illustrated in four interesting examples and some tables to simplify the procedure of using the proposed theorems. The outcomes of this study are compared with those presented by Gradshteyn and Ryzhik in the classical table of integrations. The results in this study are simple and applicable in solving integrals, and some of the well-known theorems in calculating improper integrals are considered simple cases of our research.

Suggested Citation

  • Rania Saadeh & Mohammad Abu-Ghuwaleh & Ahmad Qazza & Emad Kuffi & Abdel-Maksoud A. Soliman, 2022. "A Fundamental Criteria to Establish General Formulas of Integrals," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-16, November.
    • Handle: RePEc:hin:jnljam:6049367
    DOI: 10.1155/2022/6049367
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jam/2022/6049367.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jam/2022/6049367.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/6049367?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Abu-Ghuwaleh, Mohammad & Saadeh, Rania & Saffaf, Rasheed, 2024. "Master generators: A novel approach to construct and solve ordinary differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 600-623.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnljam:6049367. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.