Bai tap nguyen ham tich phan

Bài tập: Nguyên hàm 1.[r]

Bài tập: Nguyên hàm

3 ( x x dx)

 2 (3 x4  x dx3)

3

2

(2 x x dx)

 x dx x        

3x 2x dx

x          3x 2x

dx x   1 x dx x    8

2 4 1

1 x x dx x          

( x x x dx)



10

2 3sin os x dx c x        

11  

9

x dx

 12 (2 )2

dx x

 

13

xdx x

 

14

dx x  15 os2 cos c x dx x  

16

2 1 x dx x x   

 17 (5x )x dx



 18 ex(1 ex)dx

19 x x dx x   

20

dx

x  x

 21 x231 x dx3

 

22

2

x

x e dx

 23 (1 2)

xdx x

 

24 (1 )

dx

x x

 

25

1

.sin dx

x x

 26

2 (ln )x

dx x

 27

sin cos x dx x  28 cos sin x x dx

 29

1

x xdx

e e



 30 cossinxxsincosxxdx

31 (1 )

x

x e dx



 32 x e dx x 33 x.ln(1 x dx)

34

2 sin

x x dx

 35  x.ln x dx 36

1 ln x x dx x    37 ln(x 1x dx)

 38 x.(3 x dx)5

39   2x 3x dx

 

40 x  x dx 41

ln(sin ) cos

x dx x

 42

sin x dx x  43 ( 2)( 3)

x dx x x     44 1 xdx



45 sin cos x x dx 46 sin cos x dx x

 47 2 2

sin cos

.sin cos

x x

a x b x



48 sin x dx



49 sin3

dx x

 50 sin cos 3x 4x dx

 51 sin cos 4x 4x dx

52 cos sin2

dx

x x

 53 1 cos1 sin xxdx 54 3 os c 4x dx



55

3 4.sin x dx

 56 4.sin3xdx 57 cos3 cos cos x x x dx

58

8

(cos x sin )x dx

 59. cos tan 2 x x dx         60 (3tanx 4cot )x dx

61

cos cos sin

x dx

x x

 62 tanxdx cotx 63

5 sin cos

x dx x

 

64

4

2

cos sin 4sin 4sin

x x

dx

x x

 

 65 tan 5x dx

 66

2

2

tan sin

cot cos

x x

dx

x x

  

67

4

(3.cos x 4cos )x dx

 68

2

tan

cosx x dx

 



 

 



69 (4cos3x3sin ) sin 3x x dx