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Консультация № 185749
03.04.2012, 21:50
76.72 руб.
0
2
2
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
помогите найти производную и пару интегралов
производная: (sin^2(x))^(cos^2(x))
интегралы:
1) int ( xdx/ ( sqrt(x+1)+ sqrt(x+1)^3 ) )
2) int (arcsinx/ sqrt(x+1)) dx
3) int ( dx / ( sin^2(x)*cos^2(x) ) )
помогите найти производную и пару интегралов
производная: (sin^2(x))^(cos^2(x))
интегралы:
1) int ( xdx/ ( sqrt(x+1)+ sqrt(x+1)^3 ) )
2) int (arcsinx/ sqrt(x+1)) dx
3) int ( dx / ( sin^2(x)*cos^2(x) ) )
Обсуждение
03.04.2012, 22:32
общий
это ответ
Здравствуйте, Посетитель - 388737!
Производная.
.
.
Интегралы.
1)
Замена
.
.
Замена
,
.
.
2)
.
Будем интегрировать по частям:
.
,
.
,
.
.
3)
.
Производная.
..Интегралы.
1)
Замена
..Замена
,..2)
.Будем интегрировать по частям:
.,.,..3)
.
04.04.2012, 08:12
общий
это ответ
Здравствуйте, Посетитель - 388737!
Третий из указанных Вами интегралов можно найти, используя также основное тригонометрическое тождество:
Тогда
(
- международные обозначения функций "тангенс" и "котангенс").
Первое задание можно выполнить следующим образом:
С уважением.
Третий из указанных Вами интегралов можно найти, используя также основное тригонометрическое тождество:
Тогда
(
- международные обозначения функций "тангенс" и "котангенс").Первое задание можно выполнить следующим образом:
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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