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Консультация № 137147
16.05.2008, 21:41
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Уважаемые эксперты! Помогите, пожалуйста решить неопределенный интеграл dx/(e^x+1).
Спасибо.
Спасибо.
Обсуждение
19.05.2008, 22:01
общий
это ответ
Здравствуйте, Dasha Kotova!
Ваша задача решается так:
∫dx/(e^(x+1)) = ∫e^(-(x+1))dx = ∫e^(-(x+1))*(-1)*d(-(x+1)) = -e(-(x+1))+C = -1/e^(x+1)+C.
С уважением.<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:#777777 1px solid; padding:10px;‘ class=fieldset><font color=#777777><i>Длинная строка без пробелов</i>
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</font><font color=#777777 size=1><b>• Отредактировал: <a href=http://rusfaq.ru/info/user/680 target=_blank>Shapoklak</a></b> (Академик)
<b>• Дата редактирования:</b> 19.05.2008, 22:03</font></fieldset>
Ваша задача решается так:
∫dx/(e^(x+1)) = ∫e^(-(x+1))dx = ∫e^(-(x+1))*(-1)*d(-(x+1)) = -e(-(x+1))+C = -1/e^(x+1)+C.
С уважением.<p><fieldset style=‘background-color:#EFEFEF; width:80%; border:#777777 1px solid; padding:10px;‘ class=fieldset><font color=#777777><i>Длинная строка без пробелов</i>
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</font><font color=#777777 size=1><b>• Отредактировал: <a href=http://rusfaq.ru/info/user/680 target=_blank>Shapoklak</a></b> (Академик)
<b>• Дата редактирования:</b> 19.05.2008, 22:03</font></fieldset>
Об авторе:
Facta loquuntur.
Facta loquuntur.
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