Exploring concepts of definite integrals in two variables using GeoGebra
Abstract This work was developed to present constructive steps of multiple integrals using the open-source software Geogebra. The main focus was directed towards creating three-dimensional graphs of integrals through Riemann sums in two variables. Some practical examples are developed to demonstrate...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2024-10-01
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| Series: | Discover Education |
| Online Access: | https://doi.org/10.1007/s44217-024-00290-9 |
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| _version_ | 1850181696978157568 |
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| author | Pitágoras Pinheiro de Carvalho Afonso Norberto da Silva Maria da Cruz Vieira da Silva William Fernando da Silva Rodrigues |
| author_facet | Pitágoras Pinheiro de Carvalho Afonso Norberto da Silva Maria da Cruz Vieira da Silva William Fernando da Silva Rodrigues |
| author_sort | Pitágoras Pinheiro de Carvalho |
| collection | DOAJ |
| description | Abstract This work was developed to present constructive steps of multiple integrals using the open-source software Geogebra. The main focus was directed towards creating three-dimensional graphs of integrals through Riemann sums in two variables. Some practical examples are developed to demonstrate the reliability of the presented results, which are compared using traditional algebraic methods and computed in Geogebra. With this, we aim to highlight the potential of Geogebra in teaching integral calculus and make the graphical visualization process less exhaustive. |
| format | Article |
| id | doaj-art-fb8d453b3e1749ffb825c05f0465285e |
| institution | OA Journals |
| issn | 2731-5525 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Springer |
| record_format | Article |
| series | Discover Education |
| spelling | doaj-art-fb8d453b3e1749ffb825c05f0465285e2025-08-20T02:17:50ZengSpringerDiscover Education2731-55252024-10-013112710.1007/s44217-024-00290-9Exploring concepts of definite integrals in two variables using GeoGebraPitágoras Pinheiro de Carvalho0Afonso Norberto da Silva1Maria da Cruz Vieira da Silva2William Fernando da Silva Rodrigues3Universidade Estadual PiauíUniversidade Estadual PiauíUniversidade Estadual PiauíUniversidade Estadual PiauíAbstract This work was developed to present constructive steps of multiple integrals using the open-source software Geogebra. The main focus was directed towards creating three-dimensional graphs of integrals through Riemann sums in two variables. Some practical examples are developed to demonstrate the reliability of the presented results, which are compared using traditional algebraic methods and computed in Geogebra. With this, we aim to highlight the potential of Geogebra in teaching integral calculus and make the graphical visualization process less exhaustive.https://doi.org/10.1007/s44217-024-00290-9 |
| spellingShingle | Pitágoras Pinheiro de Carvalho Afonso Norberto da Silva Maria da Cruz Vieira da Silva William Fernando da Silva Rodrigues Exploring concepts of definite integrals in two variables using GeoGebra Discover Education |
| title | Exploring concepts of definite integrals in two variables using GeoGebra |
| title_full | Exploring concepts of definite integrals in two variables using GeoGebra |
| title_fullStr | Exploring concepts of definite integrals in two variables using GeoGebra |
| title_full_unstemmed | Exploring concepts of definite integrals in two variables using GeoGebra |
| title_short | Exploring concepts of definite integrals in two variables using GeoGebra |
| title_sort | exploring concepts of definite integrals in two variables using geogebra |
| url | https://doi.org/10.1007/s44217-024-00290-9 |
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