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Консультация № 137984
27.05.2008, 09:14
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Уважаемые эксперты! Помогите, пожалуйста, решить задачу по высшей математике...
Задача:
Вычислить неопределенный интеграл.
∫e^4-3x^2 xdx
Добавляйте коментарии к вычеслениям...
Заранее спасибо...
Задача:
Вычислить неопределенный интеграл.
∫e^4-3x^2 xdx
Добавляйте коментарии к вычеслениям...
Заранее спасибо...
Обсуждение
Неизвестный
27.05.2008, 12:17
общий
это ответ
Здравствуйте, Уманский Денис!
Здесь наверно
∫e^(4-3x^2) xdx тогда до множим все на -6 поделим на -6
1/(-6) *∫e^х4-3x^2 (-6) ]*xdx внесем -6x под знак дифференциала -6xdx=d(-3x^2)=d(-3x^2+4)=d(4-3x^2) тогда
1/(-6) *∫e^[4-3x^2 (-6) ]*xdx = 1/(-6) ∫e^[4-3x^2] *d(4-3x^2) = 1/-6 e^(4-3x^2) +C
Здесь наверно
∫e^(4-3x^2) xdx тогда до множим все на -6 поделим на -6
1/(-6) *∫e^х4-3x^2 (-6) ]*xdx внесем -6x под знак дифференциала -6xdx=d(-3x^2)=d(-3x^2+4)=d(4-3x^2) тогда
1/(-6) *∫e^[4-3x^2 (-6) ]*xdx = 1/(-6) ∫e^[4-3x^2] *d(4-3x^2) = 1/-6 e^(4-3x^2) +C
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