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Консультация № 190582
21.02.2017, 12:37
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найти неопределенный интеграл dx/(x^2+4x+3)
Найти неопределенный интеграл dx/(x^2+4x+3)
Обсуждение
21.02.2017, 12:52
общий
это ответ
Здравствуйте, tolmachieva.a!
Требуется привести интеграл к виду как во вложении.
x^2+4x+3=(х+2)^2-1=(x+1)(x+3).
Теперь интеграл 1/((х+1)*(х+3)) по формуле из вложения(можно ее доказать) равен -1/2*ln|(x+3)/(x+1)|+C
Требуется привести интеграл к виду как во вложении.
x^2+4x+3=(х+2)^2-1=(x+1)(x+3).
Теперь интеграл 1/((х+1)*(х+3)) по формуле из вложения(можно ее доказать) равен -1/2*ln|(x+3)/(x+1)|+C
Прикрепленные файлы:
Об авторе:
С уважением, Александр.
С уважением, Александр.
21.02.2017, 12:53
общий
21.02.2017, 12:53
Если нужно будет подробнее описать отпишитесь.
Об авторе:
С уважением, Александр.
С уважением, Александр.
21.02.2017, 12:58
общий
Адресаты:
Спасибо, т.е. полный квадрат выделять не нужно, можно просто по формуле решить?
21.02.2017, 13:01
общий
Можно привести в принципе к формуле во вложении или доказать из нее же что она имеет место быть.
Прикрепленные файлы:
Об авторе:
С уважением, Александр.
С уважением, Александр.
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