狠狠撸

校袪袨袣袗袥袚袝袘袪袠
芦袟袗小孝袨小校袙袗袧袧携袉袧孝袝袚袪袗袥袗禄
(11 泻谢邪褋袗泻邪写械屑褨褔薪懈泄褉褨胁械薪褜.)

1. 袟邪褋胁芯褩褌懈锌芯薪褟褌褌褟褨薪褌械谐褉邪谢褍
2小褎芯褉屑褍胁邪薪薪褟胁屑褨薪薪薪褟褨薪邪胁懈褔泻懈蟹邪褋褌芯褋芯胁褍胁邪褌懈
褨薪褌械谐褉邪谢写芯芯斜褔懈褋谢械薪薪褟锌谢芯褖锌谢芯褋泻懈褏褎褨谐褍褉.
3肖芯褉屑褍胁邪褌懈褨褉芯蟹胁懈胁邪褌懈
胁屑褨薪薪褟蟹邪褋褌芯褋芯胁褍胁邪褌懈褨薪褌械谐褉邪谢写谢褟胁懈褉褨褕械薪薪褟蟹邪胁写邪薪褜
胁谐械芯屑械褌褉褨褩, 褎褨蟹懈泻懈,
谢芯谐褨褔薪械褨邪斜褋褌褉邪泻褌薪械屑懈褋谢械薪薪褟,
屑邪褌械屑邪褌懈褔薪褍屑芯胁褍, 薪邪胁懈褔泻懈芯褉谐邪薪褨蟹邪褑褨泄薪芯褩褉芯斜芯褌懈薪邪
褍褉芯褑褨, 褉芯斜懈褌懈胁懈褋薪芯胁泻懈, 胁械褋褌懈械胁褉懈褋褌懈褔薪褍斜械褋褨写褍.
4. 袙懈褏芯胁褍胁邪褌懈褍胁邪谐褍, 胁屑褨薪薪褟芯褉谐邪薪褨蟹芯胁褍胁邪褌懈褋胁芯褞
褉芯斜芯褌褍薪邪褍褉芯褑褨, 褋邪屑芯芯褑褨薪泻褍褨褋邪屑芯泻芯薪褌褉芯谢褜.
5.袙懈褏芯胁褍胁邪褌懈泻褍谢褜褌褍褉褍锌芯斜褍写芯胁懈谐褉邪褎褨泻褨胁褎褍薪泻褑褨泄.

袙懈蟹薪邪褔械薪懈泄褨薪褌械谐褉邪谢
)a(F)b(F)x(Fdx)x(f
b
a
b
a
鈭�==鈭�
鈥� 褎芯褉屑褍谢邪袧褜褞褌芯薪邪-袥械泄斜薪褨褑邪.
袚械芯屑械褌褉懈褔薪懈泄蟹屑褨褋褌胁懈蟹薪邪褔械薪芯谐芯褨薪褌械谐褉邪谢邪锌芯谢褟谐邪褦胁褌芯屑褍, 褖芯
胁懈蟹薪邪褔械薪懈泄褨薪褌械谐褉邪谢写芯褉褨胁薪褞褦锌谢芯褖褨泻褉懈胁芯谢褨薪褨泄薪芯褩褌褉邪锌械褑褨褩, 褍褌胁芯褉械薪芯褩
谢褨薪褨褟屑懈:
蟹胁械褉褏褍芯斜屑械卸械薪芯褞泻褉懈胁芯褞褍 = f (褏),
褨锌褉褟屑懈屑懈褍 = 0, 褏 = 邪, 褏 = b.

袙懈蟹薪邪褔械薪懈泄褨薪褌械谐褉邪谢

袟薪邪泄褌懈锌械褉胁褨褋薪褍:
6
7褏褋褏 +7
7
褏褋
褏
+
8
8
褏
1
ln x + 褋
sin 2x 褋x +鈭� 2cos
2
1

袨斜褔懈褋谢械薪薪褟胁懈蟹薪邪褔械薪芯谐芯
褨薪褌械谐褉邪谢褍
516)111()222( 2323
=鈭�=+鈭掆垝+鈭�=
=+鈭�=+鈭掆埆
2
1
23
2
1
2
)xxx(dx)1x2x3(

袨斜褔懈褋谢褨褌褜褨薪褌械谐褉邪谢
dxx
xdx
dxx
dx
x
x
dx褏
鈭�
鈭�
鈭�
鈭�
鈭�
+
+
+
鈭�
鈭�
2
0
3
2
4
2
1
2
8
3
2
1
)2()5
sin5)4
)15()3
)
3
2()2
)13()1
蟺
蟺
鈭�
鈭�
鈭�
鈭�
鈭�
3
0
3
0
2
3
1
2
3
6
2
2cos)9
cos
5
)8
)2()7
sin
2
)6
蟺
蟺
蟺
蟺
xdx
dx
x
dxxx
dx
x

袩谢芯褖邪泻褉懈胁芯谢褨薪褨泄薪芯褩
褌褉邪锌械褑褨褩
a b x
y
y = f(x)
0
)a(F)b(F
dx)x(fS
b
a
ABCD
鈭�=
== 鈭�
A B
C
D
x=a
x=b
y = 0

袪芯蟹胁袪芯蟹胁鈥欌€櫻徯费冄斝夹� 褉邪蟹芯屑褟蟹褍褦屑芯褉邪蟹芯屑
袨斜褔懈褋谢懈褌懈
锌谢芯褖褍
褌褉懈泻褍褌薪懈泻邪,
芯斜屑械卸械薪芯谐芯胁褨褋褋褞
袨啸, 锌褉褟屑懈屑懈褏 = 6 褨
褍 = 2褏.
60
褍
褏
校=2褏

袩谢芯褖邪泻褉懈胁芯谢褨薪褨泄薪芯褩
褌褉邪锌械褑褨褩
a b x
y
y = f(x)
0
A B
CD
x=a
x=b
y = 0
鈭� =鈭�=
b
a
ABCD dx)x(fS
)b(F)a(F 鈭�=

袟邪胁写邪薪薪褟袛袩袗蟹褌械屑懈袟邪褋褌芯褋褍胁邪薪薪

1. 袧邪褟泻芯屑褍屑邪谢褞薪泻褍蟹芯斜褉卸械薪邪褎褨谐褍褉邪褖芯薪械褦泻褉懈胁芯谢褨薪褨泄薪芯褞褌褉邪锌械褑褨褦褞?
2. 袟邪褎芯褉屑褍谢芯褞袧褜褞褌芯薪邪-袥械泄斜薪褨褑邪芯斜褔懈褋谢褞褞褌褜:
袗. 袩械褉胁褨褋薪褍褎褍薪泻褑褨褩;
袘. 袩谢芯褖褍泻褉懈胁芯谢褨薪褨泄薪芯褩褌褉邪锌械褑褨褩;
袙. 袉薪褌械谐褉邪谢;
袚. 袩芯褏褨写薪褍.
袗袘袙袚

3. 袟薪邪泄写褨褌褜锌谢芯褖褍蟹邪褕褌褉懈褏芯胁邪薪薪芯泄褎褨谐褍褉懈.
袗. 1. 袘. -1. 袙. -5. 袚. 5.
4. 袨斜褔懈褋谢褨褌褜褨薪褌械谐褉邪谢:
鈭垝
0
1
4
5 dx褏
袗. 0. 袘. -2. 袙. 1. 袚. 2.

袗. 2a. 袘. 2cos a. 袙. 0. 袚. 2.
5. 袨斜褔懈褋谢褨褌褜褨薪褌械谐褉邪谢:
鈭垝
a
a
褏dxsin
鈭�
1
0
3
3 dx械褏
袗. . 袘. . 袙. . 袚. .33 3
鈭捫� 13
鈭捫�
3
33 械+ 3
1 械鈭�

袩械褉械胁褨褉褜褋械斜械
1 袘
2 袘
3 袚
4 袘
5 袙
6 袘

1.携泻芯斜褔懈褋谢褞褦褌褜褋褟锌谢芯褖邪泻褉懈胁芯谢褨薪褨泄薪芯褩
褌褉邪锌械褑褨褩?
2.肖芯褉屑褍谢邪袧褜褞褌芯薪邪 - 袥械泄斜薪褨褑邪
3.携泻蟹邪褋褌芯褋芯胁褍褦褌褜褋褟褨薪褌械谐褉邪谢胁褎褨蟹懈褑褨?
a b
y= f (x)

狠狠撸

袟邪褋褌芯褋褍胁邪薪薪褟褨薪褌械谐褉邪谢邪 (11 泻谢邪褋)

Recommended

More Related Content

What's hot (20)

Similar to 袟邪褋褌芯褋褍胁邪薪薪褟褨薪褌械谐褉邪谢邪 (11 泻谢邪褋) (20)

More from Olexandr Lazarets (20)

Recently uploaded (7)

袟邪褋褌芯褋褍胁邪薪薪褟褨薪褌械谐褉邪谢邪 (11 泻谢邪褋)

狠狠撸

袟邪褋褌芯褋褍胁邪薪薪褟 褨薪褌械谐褉邪谢邪 (11 泻谢邪褋)

Recommended

More Related Content

What's hot (20)

Similar to 袟邪褋褌芯褋褍胁邪薪薪褟 褨薪褌械谐褉邪谢邪 (11 泻谢邪褋) (20)

More from Olexandr Lazarets (20)

Recently uploaded (7)

袟邪褋褌芯褋褍胁邪薪薪褟 褨薪褌械谐褉邪谢邪 (11 泻谢邪褋)

袟邪褋褌芯褋褍胁邪薪薪褟褨薪褌械谐褉邪谢邪 (11 泻谢邪褋)

Similar to 袟邪褋褌芯褋褍胁邪薪薪褟褨薪褌械谐褉邪谢邪 (11 泻谢邪褋) (20)

袟邪褋褌芯褋褍胁邪薪薪褟褨薪褌械谐褉邪谢邪 (11 泻谢邪褋)