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Консультация № 199735
28.11.2020, 12:13
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Исследовать интеграл на сходимость:
(2; +бекс) от 1 / ( (lnx)^lnx ).
Не могу подобрать функцию, которая будет больше подынтегральной. Есть идея сделать замену t=lnx , но тоже не могу довести до конца
Исследовать интеграл на сходимость:
(2; +бекс) от 1 / ( (lnx)^lnx ).
Не могу подобрать функцию, которая будет больше подынтегральной. Есть идея сделать замену t=lnx , но тоже не могу довести до конца
Обсуждение
30.11.2020, 15:10
общий
Адресаты:
У меня тоже ума не хватило исследовать Ваш супер-интеграл.
Я нашёл хорошую статью "Признаки сходимости рядов Даламбера и Коши (в тч Интегральный) : ссылка . Там подробно разобраны примеры, есть даже с логарифмом, но попроще Вашего.
Онлайн-решатель ссылка2 ответил, что Ваш интеграл сходится к 5,037…
Я нашёл хорошую статью "Признаки сходимости рядов Даламбера и Коши (в тч Интегральный) : ссылка . Там подробно разобраны примеры, есть даже с логарифмом, но попроще Вашего.
Онлайн-решатель ссылка2 ответил, что Ваш интеграл сходится к 5,037…
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