Phiếu bài tập về Tích phân Giải tích 12 - Anh Sơn

SCELL 2016 TÍCH PHÂN

PHIẾU BÀI TẬP TÍCH PHÂN THEO DẠNG

MÔN: GIẢI TÍCH 12

DẠNG 1: TÍCH PHÂN CÁC HÀM SỐ HỮU TỈ

1,

3

2 3

0 I x (1 x) dx   

3,

1

2 3

0 I (1 2x)(1 3x 3x ) dx     

5,

1

0

2x 9 I dx x 3    

7,

2 1

0

x 3x 2 I dx x 3     

9,

2

2 1

5 I dx x 6x 9 

  

11,

2 1

2 0

x I dx 4 x 

 

13,

2

2 1

1 I dx x 2x 2 

  

15,

1

2 0

4x 1 I dx x 5x 6  

  

17,

1 4 2

2 0

x I dx x 1 

 

19,

3 2

2 1

3x I dx x 2x 1 

  

21,

1

2 0

2 x 2) 1 I dx (x 1) (   

23,

2

2

1

x 1 I ( ) dx x 2 

   

25,

3 2 1

2 0

x 2x 10x 1 I dx x 2x 9    

  

27,

1

2 5

1 I dx 2x 8x 26  

  

2,

1

3 4 5

0 I x (x 1) dx   

4,

1

5 3 6

0 I x (1 x ) dx   

6,

3

0

x 1 I dx 2x 3    

8,

1

2 0

3 I dx x 4x 5 

  

10,

1

2 0

x I dx 4 x 

 

12,

3 3

2 1

x I dx x 16 

 

14,

2 2

2 1

x I dx x 7x 12 

  

16,

13

2 1

1 I dx 9x 6x 5  

  

18,

2 3

2 0

3x 2 I dx x 1  

 

20,

3

2 3

1 I dx x 3 

 

22,

1

3 0

3 I dx x 1 

 

24,

2 1

3 0

2 x 5 I dx x x

1   

 

26,

1

2 0

x 3 I dx (x 1)(x 3x 2)  

   

28,

4

2 1

1 I dx x (x 1) 

 

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SCELL 2016 TÍCH PHÂN

29,

1

3 0

x I dx (2x 1) 

 

31,

2

3

2

1

1 I x x

x d

x  

 

33,

5

3 4

2

2 3x

x

1 I dx x 2 5x 6  

   

35,

2 1

4 0

(x 1) I dx (2x 1)

 

 

37,

1

2 0

2

5x I dx ( 4) x 

 

39,

2

10 2 1

1 I dx x(1 ) x 

 

41, 2

3

6 1 x x 1 I dx (1 ) 

 

43,

2 2

4 1

1 x I dx 1 x  

 

45,

2 2

4 1

1 x I dx 1 x  

 

47,

7 3

8 4 2

x I dx 1 x 2x 

  

49,

3

2 3

4 0

x I dx x 1 

 

51,

1

3 0

4x I dx (x 1) 

 

53,

3 1

2 3 0

x I dx (x 1) 

 

55,

4 1

6 0

x 1 I dx x 1  

 

30,

1

3 2 0

4x 1 I dx x 2x x 2  

   

32,

2

5 3 1 x 1 I dx x 

 

34,

1

3 0

x I dx (x 1) 

 

36,

99 1

101 0

(7x 1) I dx (2x 1)  

 

38, 2

7 1

5 0 I d x (1 ) x

x 

 

40,

4 3

4 1

1 I dx x(1 x ) 

 

42,

7 2

7 1 I dx x(1

x

x ) 1 

  

44, 2

2001 2

1002 1 I dx (1 ) x

x 

 

46,

4 1

6 0

x 1 I dx x 1  

 

48, 2

1

4 0

x I

x

dx x 1 

  

50, 2

1 5

2 2

4 1

x 1 I dx x 1 x



 

  

52,

1

4 2 0

1 I dx (x 4x 3) 

  

54,

2

2 2 0

1 I dx (4 x ) 

 

56,

5 2

5 1

1 x I dx x(1 x )  

 

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SCELL 2016 TÍCH PHÂN

DẠNG 2: TÍCH PHÂN CÁC HÀM SỐ VÔ TỈ

1,

1

0

x 1 x I dx  

3,

1

3 2

0

x 1 x I dx  

5,

3

3 2

0

x . 1 x I dx  

7,

2

2 3

0 I x (x 4) dx   

9,

73

3 0

x 1 dx 3x 1 I 

 

11,

2

3 1

1 dx x 1 x I 

 

13,

2 3

2 5

1 I dx x x 4 

 

15,

2 3 2

2 0

x dx I

1 x  

17,

2

2 2

3

1 dx x x 1 I

 

19,

3 7

3 2 0

x d I x 1 x  

21,

1

0

x dx 2x 1 I

 

23,

1

2

0

1 x d I x  

25,

3

2 2 1

1 I dx x 4 x 

 

27,

1

2 0

1 I dx 4 x 

 

2,

9

3

1

x. 1 x I dx  

4,

1

15 8

0 I x 1 x dx   

6,

1

5 2

0

x 1 x I dx  

8,

2

3 2

0

(x 3) x 6x 8d I x    

10,

2 1

3 0

3x dx x 2 I

 

12,

1

0

1 dx 3 2x I

 

14,

4

2 2

1 dx x 16 x I

 

16,

2

3 0

x 1 I dx 3x 2  

 

18,

4

2 7

1 I dx x 9 x 

 

20,

6

2 2 3

1 dx x x 9 I

 

22,

5 3 3

2 0

x 2x I dx x 1

 

 

24,

3 8

1

x 1 I dx x

 

26,

1

2 3

0

(1 x ) I dx  

28,

3

2

2 12

1 dx I

x 1 x  

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