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Консультация № 201025
31.05.2021, 19:18
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
задание в скриншоте
задание в скриншоте
Прикрепленные файлы:
Обсуждение
01.06.2021, 00:02
общий
это ответ
Здравствуйте, ushatalal!
Другой способ нахождения первоообразной основан на методе неопределённых коэффициентов. Сначала представим подынтегральную дробь в виде суммы простейших.
Затем приравняем друг к другу коэффициенты при соответствующих степенях многочленов в числителях начальной и конечной дробей и решим систему уравнений относительно этих коэффициентов.
Теперь вычислим первообразную.
Другой способ нахождения первоообразной основан на методе неопределённых коэффициентов. Сначала представим подынтегральную дробь в виде суммы простейших.
Затем приравняем друг к другу коэффициенты при соответствующих степенях многочленов в числителях начальной и конечной дробей и решим систему уравнений относительно этих коэффициентов.
Теперь вычислим первообразную.
[по таблице неопределённых интегралов]
Об авторе:
Facta loquuntur.
Facta loquuntur.
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