Work

Finding Volume and Surface Area Through Integrals

Year: 2026

Type: article

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.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.18448536

Authors: Mansurkhujaev, Sardorkhuja, Mansurkhujaev, Azizkhuja

Institution: Tashkent State University of Economics

Language: English

Topic: Mathematical and Computational Methods

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7126461597

FWCI:

Cites:

Cited by:

Related to: