Work

Geometric approaches to the properties of the definite integral: enhancing understanding through visual demonstrations

Year: 2024

Type: article

Abstract: From a purely geometric perspective, this paper provides demonstrations of two properties related to the definite integral. The first one discusses the theorem of the definite integral of a function and its inverse. The second addresses the calculation of the area of a region rotated around the line y = x. The intention is to illustrate that when feasible, it is advantageous to explore the geometric aspects of the elements involved in a property for the purpose of its demonstration. In both cases, we assume only the monotonicity and continuity of the function.

Source: REMAT Revista Eletrônica da Matemática

DOI: 10.35819/remat2024v10i2id7273

Authors: Julio César Saavedra Vásquez, Márcio Dias de Lima, Duelci Aparecido de Freitas Vaz

Institution: Instituto Federal de Goiás

Language: English

Topic: Mathematics Education and Teaching Techniques

Subfield: Education

Field: Social Sciences

Domain: Social Sciences

Open Access status: diamond

OpenAlex ID: W4405613470

FWCI:

Cites: 6

Cited by:

Related to: 10