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Консультация № 200829
15.05.2021, 17:24
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Здравствуйте! Помогите, пожалуйста. Вычислить площадь фигуры, ограниченной линиями: y=sqrt(e^x-1), y=ln2, x=0
Обсуждение
15.05.2021, 19:26
общий
это ответ
Здравствуйте, Айдар Шамилович!
Заданная фигура показана в прикреплённом файле заливкой серого цвета. Вычислим её площадь. Удобно сначала выразить
через 
из уравнения 
Тогда 
При этом
(постоянную интегрирования опускаем).
(ед. площади).
Вам для информации: Вычисление неопределённого интеграла. Числовое значение площади было получено с использованием этого онлайн-калькулятора: Ссылка >> (снимок экрана находится во втором прикреплённом файле).
Заданная фигура показана в прикреплённом файле заливкой серого цвета. Вычислим её площадь. Удобно сначала выразить
через из уравнения Тогда При этом(постоянную интегрирования опускаем).
(ед. площади).Вам для информации: Вычисление неопределённого интеграла. Числовое значение площади было получено с использованием этого онлайн-калькулятора: Ссылка >> (снимок экрана находится во втором прикреплённом файле).
Прикрепленные файлы:
5
Огромное спасибо!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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