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Консультация № 178597
24.05.2010, 01:46
0.00 руб.
0
1
1
[Уважаемые эксперты,здравствуйте уже задавал этот вопрос,только не понял решения. Если не затруднит, разъясните пожалуйста данное решение или предложите другое.
задача:
Полученный ответ: В интервале I(B,α)=B+∞∫dx/((x-α)2+4) произведем замену x=α+t. Тогда I(B,α)=B=α+∞∫dt/(t2+4). Если положить α=В>0, то при любом В будет I(B,α)>e, где 0<e<п/4. Следовательно, данный интеграл сходится неравномерно. Сходимость рассматриваемого интеграла при фиксированном α, 0≤α≤10, следует из признака сравнения (1/((x-α)21/x+4)2, x→+∞)
задача:
Полученный ответ: В интервале I(B,α)=B+∞∫dx/((x-α)2+4) произведем замену x=α+t. Тогда I(B,α)=B=α+∞∫dt/(t2+4). Если положить α=В>0, то при любом В будет I(B,α)>e, где 0<e<п/4. Следовательно, данный интеграл сходится неравномерно. Сходимость рассматриваемого интеграла при фиксированном α, 0≤α≤10, следует из признака сравнения (1/((x-α)21/x+4)2, x→+∞)
Обсуждение
Форма ответа
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