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Консультация № 199815
08.12.2020, 17:44
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Найти интегралы - задания 4,5,6 
Обсуждение
13.12.2020, 03:43
общий
это ответ
Здравствуйте, alekseyslobodyanyuk20003!
4. Преобразуем подинтегральное выражение:
и сделаем замену переменной: t = x-2, dt = dx. Тогда
откуда
5. Разложим подинтегральное выражение на сумму простых дробей:
Тогда A+C=0, A+B=-3, B=2, A=-5, C=5 и
Соответственно,
6. Сделаем замену переменной t = [$8730$]6x-16, x = (t[sup]2[/sup]+16)/6 = t[sup]2[/sup]/6+8/3, dx = t/3 dt, тогда
4. Преобразуем подинтегральное выражение:
и сделаем замену переменной: t = x-2, dt = dx. Тогда
откуда
5. Разложим подинтегральное выражение на сумму простых дробей:
Тогда A+C=0, A+B=-3, B=2, A=-5, C=5 и
Соответственно,
6. Сделаем замену переменной t = [$8730$]6x-16, x = (t[sup]2[/sup]+16)/6 = t[sup]2[/sup]/6+8/3, dx = t/3 dt, тогда
5
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