DERIVE A NEW RULE FOR FINDING THE VALUES OF NUMERICALLY DEFINED ONE SIDED INTEGRALS

Authors

  • Mayser Elan Abbas AL-Owaidi

    AL-Furat AL-Awsat Technical University (ATU), Technical Institute of Dewaniya, Iraq

    Author

  • Maryam Alaa Abdulhussein

    AL-Furat AL-Awsat Technical University (ATU), Technical Institute of Dewaniya, Iraq

    Author

Keywords:
Harmonic Mean, trapezoidal Rule, Simpsonʼs 1/3- rule.
Abstract

This study's primary objective is to devise a new rule to determine the values of numerically defined fundamentals of continuous functions. Although they are continuous, they are defective in the derivative or defective at one or more points in the integration region.[1] Error formulas were found for them as we deduced this method, where the harmonic mean was taken. For the trapezoid and Simpson methods, then comparing the results with numerical integration methods and adopting the percentage of absolute error, [3]it was found that the new method is better than the previous methods. We concluded that we can rely on this method in calculating definite integrals, as it gave high accuracy in the results.

References

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Published
2026-03-18
Issue
Vol. 2 No. 3 (2026)
Section
Articles
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How to Cite

DERIVE A NEW RULE FOR FINDING THE VALUES OF NUMERICALLY DEFINED ONE SIDED INTEGRALS. (2026). Eureka Journal of Artificial Intelligence and Data Innovation, 2(3), 37-45. https://eurekaoa.com/index.php/11/article/view/631

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