2023-01-132023-01-132022-12-13SILVA, Maykon Gomes da. Resolução de uma integral através das regras de Simpson composta e adaptativa. Orientador: Manuel de Jesus dos Santos Costa. 2022. 31 f. Trabalho de Curso (Licenciatura em Matemática) – Faculdade de Ciências Exatas e Tecnologia, Campus Universitário de Abaetetuba, Universidade Federal do Pará, Abaetetuba, 2022. Disponível em: https://bdm.ufpa.br:8443/jspui/handle/prefix/4949. Acesso em:.https://bdm.ufpa.br/handle/prefix/4949The present work refers to the presentation and comparison of the numerical methods, Simpson's rule, compound and adaptive, in the resolution of an integral. In this context, the concepts of interpolation, truncation error and adaptive quadrature were presented, being implemented in the matlab interface, algorithms of the conventional Simpson type and adapted, in that order, to assist in the calculations. Thus, the result of a non-contextualized definite integral was displayed, which initially had its solution provided through the computational mechanism called Wolfram|Alpha. Afterwards, the integral was resolved by numerical means, granting a quantitative analysis using the theoretical foundation of the relative error, which indicated for the analyzed scenario that the adaptive Simpson's rule is more efficient both in accuracy and in convergence to less than one tolerance required.Acesso AbertoMétodos numéricosRegra de Simpson adaptadaQuadratura adaptativaNumerical methodsAdapted Simpson's ruleAdaptive squareCNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA::MATEMATICA APLICADA::ANALISE NUMERICATrabalho de Curso - Graduação - Artigo