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Консультация № 203179
22.09.2022, 12:41
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Вычислить тройной интеграл, если область интегрирования ограничена поверхностями
Вычислить тройной интеграл, если область интегрирования ограничена поверхностями
Обсуждение
02.10.2022, 06:50
общий
это ответ
Здравствуйте, slastena_0403!
Областью интегрирования является треугольная призма, которая ограничена снизу и сверху плоскостями
и 
соответственно, а с боков -- плоскостями 
(или 
), 
(или 
или 
). Проекция области интегрирования на горизонтальную плоскость показана в прикреплённом файле заливкой серым цветом.
Вычислим заданный интеграл:
(вычисление интеграла показано здесь: Ссылка >>)
(вычисление интеграла показано здесь: Ссылка >>)
Областью интегрирования является треугольная призма, которая ограничена снизу и сверху плоскостями
и соответственно, а с боков -- плоскостями (или ), (или или ). Проекция области интегрирования на горизонтальную плоскость показана в прикреплённом файле заливкой серым цветом.Вычислим заданный интеграл:
(вычисление интеграла показано здесь: Ссылка >>)
(вычисление интеграла показано здесь: Ссылка >>)
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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