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| Open Access | APPLICATIONS OF DEFINITE INTEGRALS IN MECHANICS
Yoʻldosheva Durdona Botirboy kizi,Jumanazarova Shodiya Otojon kizi , Urgench State Pedagogical InstituteAbstract
This article explores the application of definite integrals in solving mechanical problems. In particular, the determination of the center of gravity, moment of inertia, rectangle approximation formulas, and numerical integration methods such as the trapezoidal and Simpson’s rules are discussed. As an essential tool in mathematical analysis, the definite integral is used to carry out computations on real physical objects.
Keywords
definite integral, center of gravity, moment of inertia, trapezoidal rule, Simpson's rule, static moment, mechanics, integral calculation
References
Mamatov A. M., Eshmamatov T. T. — Matematical Analysis, Tashkent, 2008.
Bartle R. G., Sherbert D. R. — Introduction to Real Analysis, Wiley, 2011.
Rozhdestvensky E. A. — Course of Higher Analysis, Moscow, 2006.
Stewart J. — Calculus: Early Transcendentals, Brooks/Cole, 2015.
Berezansky Yu. M. — Difference and Integral Equations, Kyiv, 1983.
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This work is licensed under a Creative Commons Attribution 4.0 International License.