Open AccessTEOREMA RESIDU DAN APLIKASINYA DALAM INTEGRAL TAK WAJAR
Author(s) -
MOH. ATKURRAHMAN,
MUNIAR ZULFITNI,
DIYAH AYU RIZKI PRADITA
Publication year - 2022
Publication title -
e-jurnal matematika
Language(s) - English
Resource type - Journals
ISSN - 2303-1751
DOI - 10.24843/mtk.2022.v11.i01.p352
Subject(s) - mathematics , residue theorem , function (biology) , integral equation , daniell integral , riemann integral , mathematical analysis , pure mathematics , singular integral , initial value problem , evolutionary biology , biology , cauchy problem
In this study discusses about the solve of improper integral uses ordinary step and the solve uses residu theorem. For the ordinary step is used the concept of integral and substitution integral, and the for the residu theorem is used the concept of a series from complex functions in complex areas. this study purpose for apply the residue theorem to improper integral of the real function. And know the proportion to calculate the integral value using the residue theorem and the ordinary steps, and applying the residu theorem in calculating improper integral of the real function that can't be done using the ordinary steps. Using concepts or approaches of complex function series thus produced the formula to calculate the improper integral of the real function. And the result of this study is that calculating unnatural integrals is easier and faster using the residue theorem than using the ordinary step. Not all the integral to the real function can be calculated using the ordinary steps therefore it can be used the residu theorem formula as an alternative.