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FINDING VOLUME AND SURFACE AREA THROUGH INTEGRALS

Sardorkhuja MansurkhujaevLecturer of mathematics, Tashkent State University of EconomicsAzizkhuja MansurkhujaevMaster, lecturer of mathematics, Tashkent State University of Economics
Open MINDrepository2026en
ABI

Abstract

This article explains how to compute volumes and surface areas of three dimensional solids using definite integrals. The focus is on the geometric ideas behind slicing, accumulation, and revolving curves around an axis, rather than on memorizing formulas. Core methods include the disk and washer approach, the cylindrical shell approach, and surface area integrals for surfaces of revolution.

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