Cong Thuc Va Bai Tap Nguyen Ham Va Tich Phan

7/23/2019 Cong Thuc Va Bai Tap Nguyen Ham Va Tich Phan

1/9

NGUYN HM V TCH PHN Ti liu: V An Th

CC CNG THC HM! NGUYN HM

"# $%n& '() h* +,+ h* -. -/ +01 +/ 2%n:

1/ ( )c ' 0= (c l hng s) 2/ ( )m m 1x ' mx -= 3/ ( )sinx ' cosx=

4/ ( )cosx ' sinx= - 5/ ( ) 2

1tanx '

cos x

= 6/ ( ) 2

1cotx '

sin x

= -

7/ ( )x xa ' a lna= 8/ ( )x xe ' e= 9/ ( ) 1

lnx 'x

=

3# C,+ n&u45n h* +/ 2%n:

( )1 dx x c= + ( ) ( )n 1

n x2 x dx c n 1n 1

+

= + -+

( ) dx

3 ln x cx

= + ( ) dx 1

3' ln ax b cax b a

= + ++

( ) x x4 e dx e c= + ( ) ax b ax b1

4' e dx e ca

+ += + ( )a 0

( )x

x a5 a dx clna

= +

( )6 sinxdx cosx c= - + ( ) ( ) ( )1

6' sin ax b dx cos ax b ca

+ = - + +

( )7 cosxdx sinx c= + ( ) ( ) ( )1

7' cos ax b dx sin ax b ca

+ = + +

( ) 2dx8 tanx ccos x= + ( ) 2dx9 cotx csin x = - +

( )10 tanxdx ln cosx c= - + ( )10' cotxdx ln sinx c= +

( ) 2

dx 1 x 111 ln c

2 x 1x 1

-= +

+- ( ) 2 2dx 1 x a

11' ln c2a x ax a

-= +

+-

( ) 22

dx12 ln x x c

x = + + +

+

( ) 2 2 2x 1

13 x 1dx x 1 ln x x 1 c2 2+ = + + + + +( ) 2 2 2

x 14 x dx x ln x x c

2 2+ = + + + + +

6# T7nh +h08:1! ( ) ( )

2! ( ) ( ) ( ) ( )

kf x dx k f x dx

f x g x dx f x dx g x dx

=

=

Trang 1


2/9

NGUYN HM V TCH PHN Ti liu: V An ThA9: T* n&u45n h* +;< +,+ h* -. 2=n& '>nh n&h?


3/9

NGUYN HM V TCH PHN Ti liu: V An Th"#Ph/n& 1h,1 'i 2iEn -.#

T,nh - = dxxuxuf )()/.(0 ng cch & & = (x)1. & & = (x) dxxudt )(=2. - =

= dttfdxxuxuf )()()/.(0

T* n&u45n h* +;< +,+ h* -. -


4/9


TCH PHN"# >nh n&h?& ng?


5/9


$i "# TNH TCH PHN $QNG CCH R 9SNG TNH CHT V NGUYN HM CK $N:

1.1

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$W 3: PHJKNG PHP XW $WN:

1!2

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2!2

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3!2

%

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cosx

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%

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e

x dxx x+

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xdx

x+

Trang 6


7/9


42!

1

% 2 1

xdx

x +

43!

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%

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dx

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9/9


$i 6: PHJKNG PHP TCH PHN TZNG PH[N:

1.3

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Cong Thuc Va Bai Tap Nguyen Ham Va Tich Phan