GEOMETRIC INTERPRETATION OF THE DOUBLE INTEGRAL AND ITS JUSTIFICATION THROUGH RIEMANN SUMS

Authors

  • M. Madirimov Author
  • M. Jabborov Author
  • R. Rizayev Author
  • O. Omonov Author

Keywords:

Double integral, Geometric interpretation, Riemann sum, Algebraic volume, Signed volume, Geometric volume, True volume, Continuous function, Domain area.

Abstract

In this work, the geometric meaning of the double integral and its behavior in sign-preserving and sign-changing functions are analyzed using rigorous mathematical methods. The difference between the concepts of “algebraic volume” and “true volume” is proven based on the properties of continuous functions and Riemann sums.

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Published

2026-06-20

Issue

Vol. 8 No. 2 (2026): ZAMONAVIY TARAQQIYOT VA FAN: 21-ASR YONDASHUVLARI

Section

Articles

How to Cite

GEOMETRIC INTERPRETATION OF THE DOUBLE INTEGRAL AND ITS JUSTIFICATION THROUGH RIEMANN SUMS. (2026). ZAMONAVIY TARAQQIYOT VA FAN: 21-ASR YONDASHUVLARI, 8(2), 227-232. https://conferns.com/index.php/ztf/article/view/2061