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Консультация № 200863
18.05.2021, 22:34
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Интегральное исчисление функций одной переменной(прикрепил скрин)
Интегральное исчисление функций одной переменной(прикрепил скрин)
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Обсуждение
18.05.2021, 23:37
общий
В примере б) сделайте замену lgx = y и придете к А в степени Y.
В примерах а) и б) примените метод интегрирования по частям (кажется, так называется). Это аналог формулы дифференцирования произведения U*V= U*DV+V*DU,
но в виде:
Интеграл от U*DV = U*V - интеграл от V*DU.
Применяете эту формулу несколько раз, чтобы множитель X (в степени) перед экспонентой с каждым разом (после каждого применения вышеуказанной формулы) уменьшался. Там возможны два варианта: или получаете интеграл, который можете взять (например, от Е в степени Х), или интеграл повторяется. В Вашем случае, уменьшается до E в степени Х.
В примерах а) и б) примените метод интегрирования по частям (кажется, так называется). Это аналог формулы дифференцирования произведения U*V= U*DV+V*DU,
но в виде:
Интеграл от U*DV = U*V - интеграл от V*DU.
Применяете эту формулу несколько раз, чтобы множитель X (в степени) перед экспонентой с каждым разом (после каждого применения вышеуказанной формулы) уменьшался. Там возможны два варианта: или получаете интеграл, который можете взять (например, от Е в степени Х), или интеграл повторяется. В Вашем случае, уменьшается до E в степени Х.
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