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Visualização de integrais impróprias em um parâmetro com o auxílio do Geogebra
| Content Provider | Semantic Scholar |
|---|---|
| Author | Alves, Francisco Regis Vieira |
| Copyright Year | 2014 |
| Abstract | Resumo: A nocao de integral generalizada constitui elemento obrigatorio de estudo no contexto de Analise. Neste trabalho, discutiremos uma classe particular de integrais generalizadas de funcoes , que se caracterizam pela dependencia de um parâmetro . Dentre alguns dos criterios que empregaremos com o objetivo precipuo de descrever o comportamento de algumas dessas integrais, destacamos a passagem de derivacao sob o sinal da integral. Enfatizaremos, tambem, a visualizacao de propriedades possibilitadas pelo uso do software Geogebra. Com ele, mostraremos, do ponto de vista grafico-geometrico, as relacoes de dependencia conceitual e do comportamento (convergencia/divergencia) de integrais. Por fim, pela exploracao de certas caracteristicas qualitativas deste objeto, indicaremos vias de transmissao deste saber, com vistas ao entendimento no contexto de ensino. Palavras-chave: Integral generalizada, Visualizacao, Software Geogebra. VISUALIZATION OF IMPROPER INTEGRALS ON A PARAMETER BY THE USE OF GEOGEBRA SOFTWARE Abstract: The notion of generalized integral is an element of the required study in the Analysis’s context. In this paper, we discuss a particular class of generalized integrals of the functions , which are characterized by dependence on a parameter. Among some of the criteria that we will use with the primary objective to describe the behavior of some of these integrals, we highlight the passage of derivation under the integral sign. Also will emphasize the visualization of properties made possible by the use of Geogebra software. With it, we will show the graphical point of view, geometric, conceptual dependency relationships and behavior (convergence / divergence) of integrals. Finally, the use of certain qualitative properties of this object, we will indicate routes of transmission of this knowledge, with a view to understanding the concept in the teaching context. Keywords: Generalized integrals, Visualization, Software Geogebra. |
| File Format | PDF HTM / HTML |
| Volume Number | 3 |
| Alternate Webpage(s) | https://periodicos.ifrs.edu.br/index.php/tear/article/download/1821/1423 |
| Alternate Webpage(s) | https://doi.org/10.35819/tear.v3.n1.a1821 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
