Integration method of non-elementary exponential functions using iterated Fubinni integrals

International Journal for Innovation Education and Research

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Field Value
 
Title Integration method of non-elementary exponential functions using iterated Fubinni integrals
 
Creator Saraiva, Odirley Willians Miranda
Dias, Gustavo Nogueira
Lobato, Fabricio da Silva
Souza Júnior, José Carlos Barros de
Silva Junior, Washington Luiz Pedrosa da
Reis, Cássio Pinho dos
Loureiro, Rondineli Carneiro
Rocha, Herson Oliveira da
Barreto, Wagner Davy Lucas
Beirão, Antonio Thiago Madeira
Silva, Katiane Pereira da
Reis, Nazaré Doriene de Melo
 
Subject Non-elementary exponential functions
Approaches
Integrals
Taylor series
 
Description The present work presents a new method of integration of non-elementary exponential functions where Fubinni's iterated integrals were used. In this research, some approximations were used in order to generalize the results obtained through mathematical series, in addition to integration methods and double integrals. In addition to the integration methods, the Taylor series was used, where the value found and compatible with the values ​​of the power series that are used to calculate the value of the exponential function demonstrated in the work was verified. In addition to the methods described, a comparison of the values ​​obtained by the series and the values ​​described in the method was improvised, where it was noticed that the higher the value of the variable, the closer the results show a stability for the variable greater than the value 4, described in table 01. The conclusions point to a great improvement, mainly for solving elliptic differential equations and statistical functions.
 
Publisher International Educative Research Foundation Publisher (IERFP)
 
Date 2021-09-01
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier https://ijier.net/ijier/article/view/3326
10.31686/ijier.vol9.iss9.3326
 
Source International Journal for Innovation Education and Research; Vol. 9 No. 9 (2021): International Journal for Innovation Education and Research; 169-177
2411-2933
2411-3123
 
Language eng
 
Relation https://ijier.net/ijier/article/view/3326/2270
 
Rights Copyright (c) 2021 Odirley Willians Miranda Saraiva, Gustavo Nogueira Dias, Fabricio da Silva Lobato, José Carlos Barros de Souza Júnior, Washington Luiz Pedrosa da Silva Junior, Cássio Pinho dos Reis, Rondineli Carneiro Loureiro, Herson Oliveira da Rocha, Wagner Davy Lucas Barreto, Antonio Thiago Madeira Beirão, Katiane Pereira da Silva, Nazaré Doriene de Melo Reis
https://creativecommons.org/licenses/by-nd/4.0
 

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