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Выполните, пожалуйста, проверку. Вы убедитесь, что неправильно представили подынтегральную функцию в виде трёх простейших дробей. Используйте метод неопределённых коэффициентов для правильного решения.
Подскажите, пожалуйста, все ли верно в моем решении?
В Вашем решении верно не всё. Вы не показали подробно, как представили подынтегральную дробь в виде суммы простейших, неправильно оформили вычисление интегралов с бесконечным верхним пределом интегрирования. Конечный ответ правильный.
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в виде суммы трёх простейших дробей.
Александр 
