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Консультация № 185667
25.03.2012, 18:44
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Вычмслить интеграл по замкнутым контурам а) и б),считая обход контура в положительном направлении.Нарисовать область интегрирования,указать на рисунке особые точки. (sinzdz)/z^2(z^2+1); а)[z-i]=1/2; б)[z+3]=2 Огромное спасибо!!!!!!
Вычмслить интеграл по замкнутым контурам а) и б),считая обход контура в положительном направлении.Нарисовать область интегрирования,указать на рисунке особые точки. (sinzdz)/z^2(z^2+1); а)[z-i]=1/2; б)[z+3]=2 Огромное спасибо!!!!!!
Обсуждение
Неизвестный
25.03.2012, 20:37
общий
это ответ
Здравствуйте, lady.pch!
[size=3]a)[/size]
Запишем интеграл в виде
Функция
аналитическая в области L1. Поэтому по формуле Коши
[size=3]б)[/size]
Поскольку особые точки подинтегральной функции лежат вне области интегрирования, то данный интеграл равен нулю:
[size=3]a)[/size]
Запишем интеграл в виде
Функция
аналитическая в области L1. Поэтому по формуле Коши[size=3]б)[/size]
Поскольку особые точки подинтегральной функции лежат вне области интегрирования, то данный интеграл равен нулю:
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