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Консультация № 194668
10.02.2019, 17:50
0.00 руб.
1
4
2
Здравствуйте, уважаемые эксперты! Прошу вас помочь мне осознать ( 
), как решить один неопределенный интеграл, который никак не хочет у меня получаться.
В условии имеем то, что под цифрой 1, в ответе франкенштейн под цифрой 2.
Как авторы учебника пришли к такому ответу? Все, на что меня хватило, это бесполезная попытка разложить косинус разности по формуле суммы произведений косинусов и синусов.
), как решить один неопределенный интеграл, который никак не хочет у меня получаться.В условии имеем то, что под цифрой 1, в ответе франкенштейн под цифрой 2.
Как авторы учебника пришли к такому ответу? Все, на что меня хватило, это бесполезная попытка разложить косинус разности по формуле суммы произведений косинусов и синусов.
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Обсуждение
10.02.2019, 18:40
общий
10.02.2019, 19:09
Домножайте на cos(x-pi/4) числитель и знаменатель. Числитель под знак дифференциала внесите, к знаменателю примените основное тригонометрическое тождество, замените cos(x-pi/4) на t и получите интеграл dt/(1-t^2) который табличный
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