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Консультация № 199201
21.09.2020, 14:14
0.00 руб.
1
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1
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Вычислить определенный интеграл
Вычислить определенный интеграл
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Обсуждение
21.09.2020, 17:06
общий
это ответ
Здравствуйте, Николай! Интеграл вычисляется по частям. Детали во вложенном файле.
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5
21.09.2020, 18:09
общий
Здравствуйте, огромное спасибо за ответ!!!
можно уточнить в место L нужно написать x lnx ???
можно уточнить в место L нужно написать x lnx ???
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22.09.2020, 06:07
общий
22.09.2020, 06:08
Адресаты:
Ответ #280151 от sglisitsyn верный (я проверил его в вычислителе ru.wikipedia.org/wiki/Mathcad , скриншот прилагаю), но он недостаточно подробно расписан. Поэтому, Вы неправильно поняли решение.
Вы спрашивали : "можно уточнить в место L нужно написать x lnx ???" - не нужно и не можно! Потому что буквой I (это заглавная латин-буква i , а не малая L) эксперт sglisitsyn обозначил в своём решении Ваш исходный интеграл.
I = ee^2 [$8747$]x·ln(x)·dx
и использовал остроумный "Метод сведения интеграла к самому себе" Ссылка1 .
Если Вам хочется понять смысл решения, то почитайте также учебно-методическую статью "Интегрирование по частям. Примеры решений" Ссылка2 .
Если не сможете разобраться, просите сюда подробное решение, я распишу.
В технической переписке надо стараться избегать употребление похожих букв типа I и l , вызывающих двусмысленное толкование и путаницу.
Вы спрашивали : "можно уточнить в место L нужно написать x lnx ???" - не нужно и не можно! Потому что буквой I (это заглавная латин-буква i , а не малая L) эксперт sglisitsyn обозначил в своём решении Ваш исходный интеграл.
I = ee^2 [$8747$]x·ln(x)·dx
и использовал остроумный "Метод сведения интеграла к самому себе" Ссылка1 .
Если Вам хочется понять смысл решения, то почитайте также учебно-методическую статью "Интегрирование по частям. Примеры решений" Ссылка2 .
Если не сможете разобраться, просите сюда подробное решение, я распишу.
В технической переписке надо стараться избегать употребление похожих букв типа I и l , вызывающих двусмысленное толкование и путаницу.
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