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Консультация № 173227
12.10.2009, 23:42
0.00 руб.
0
1
1
Большая прозьба, помочь с решениями. В пятницу экзамен, а я что то застряна на решении этих интегралов. Помогите!!!! Зарание благодарна всем кто откликнется на мою прозьбу
Обсуждение
13.10.2009, 00:39
общий
это ответ
Здравствуйте, Ирина П..
Замечание: Переписывать сами примеры не стал, а сразу приступал к решению.
831. ={Корень записываем в степенном виде}=[$8747$](x2/3-x1/3)*x-1/2dx=[$8747$](x1/6-x-1/6)dx=(6/7)*x[$8730$]x - (6/5)*6[$8730$]x5+c;
833. ={Раскрываем скобки в числителе, получаем}=[$8747$](x[$8730$]x + x + [$8730$]x - x - [$8730$]x - 1)/3x[$8730$]x dx = {Приводим подобные и делим почленно} = [$8747$]((x[$8730$]x)/(3x[$8730$]x) - 1/3x3/2) dx = x/3 + 2/(3[$8730$]x) + c;
В следующих 3 задачах числитель разложим на множители, для этого разделим числитель на знаменатель и запишем вместо бывшего числителя произведение делителя на частное. Получаем:
835. =[$8747$]((2x-5)(2x+5))/(2x+5) dx = {Сокращаем} = [$8747$](2x-5) dx = x2 - 5x + c;
837. =[$8747$]((2x+1)(3x-2))/(3x-2) dx = {Сокращаем} = [$8747$](2x+1) dx = x2 + x + c;
839. =[$8747$]((4x2+2x+1)(2x-1))/(4x2+2x+1) dx = {Сокращаем} = [$8747$](2x-1) dx = x2 - x +c;
Рад был помочь!
Всего доброго!
Замечание: Переписывать сами примеры не стал, а сразу приступал к решению.
831. ={Корень записываем в степенном виде}=[$8747$](x2/3-x1/3)*x-1/2dx=[$8747$](x1/6-x-1/6)dx=(6/7)*x[$8730$]x - (6/5)*6[$8730$]x5+c;
833. ={Раскрываем скобки в числителе, получаем}=[$8747$](x[$8730$]x + x + [$8730$]x - x - [$8730$]x - 1)/3x[$8730$]x dx = {Приводим подобные и делим почленно} = [$8747$]((x[$8730$]x)/(3x[$8730$]x) - 1/3x3/2) dx = x/3 + 2/(3[$8730$]x) + c;
В следующих 3 задачах числитель разложим на множители, для этого разделим числитель на знаменатель и запишем вместо бывшего числителя произведение делителя на частное. Получаем:
835. =[$8747$]((2x-5)(2x+5))/(2x+5) dx = {Сокращаем} = [$8747$](2x-5) dx = x2 - 5x + c;
837. =[$8747$]((2x+1)(3x-2))/(3x-2) dx = {Сокращаем} = [$8747$](2x+1) dx = x2 + x + c;
839. =[$8747$]((4x2+2x+1)(2x-1))/(4x2+2x+1) dx = {Сокращаем} = [$8747$](2x-1) dx = x2 - x +c;
Рад был помочь!
Всего доброго!
5
Огромное спасибо за отзывчивость!!!:)
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