APPLICATIONS OF DEFINITE INTEGRALS IN MECHANICS

Аннотация

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 onreal physical objects. Keywords:definite integral, center of gravity, moment of inertia, trapezoidal rule, Simpson's rule, staticmoment, mechanics, integral calculation