1 2 3 4 5 6 7 8 9 10

RD Sharma - Volume 1

19. Indefinite Integrals

Exercise 19.2

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49

Exercise 19.3

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Exercise 19.4

Exercise 19.5

1 2 3 4 5 6 7 8 9 10

Exercise 19.6

1 2 3 4 5 6 7 8

Exercise 19.7

Exercise 19.8

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51

Exercise 19.9

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72

Exercise 19.10

1 2 3 4 5 6 7 8 9 10

Exercise 19.11

1 2 3 4 5 6 7 8 9 10 11 12

Exercise 19.12

1 2 3 4 5 6 7 8 9 10 11 12 13

Exercise 19.13

Exercise 19.14

1 2 3 4 5 6 7 8 9 10

Exercise 19.15

Exercise 19.16

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Exercise 19.17

1 2 3 4 5 6 7 8 9

Exercise 19.18

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Exercise 19.19

1 2 3 4 5 6 7 8 9 10 11 12 13 4 5 16 17

Exercise 19.20

1 2 3 4 5 6 7 8 9 10

Exercise 19.21

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Exercise 19.22

1 2 3 4 5 6 7 8 9 10 11

Exercise 19.23

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Exercise 19.24

1 2 3 4 5 6 7 8 9 10 11

Exercise 19.25

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60

Exercise 19.26

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Exercise 19.27

1 2 3 4 5 6 7 8 9 10 11 12

Exercise 19.28

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

Exercise 19.29

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Exercise 19.30

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69

Exercise 19.31

1 2 3 4 5 6 7 8 9 10 11

Exercise 19.32

1 2 3 4 5 6 7 8 9 10 11 12 13 14

Very short answer

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62

MCQ

18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35

Revision exercise

106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15

Q. 4

Evaluate:<b

Class 12th RD Sharma - Volume 1 19. Indefinite Integrals

Answer :

Here multiply and divide the question by 3

We get

⇒

⇒

Add and subtract 1 from above equation

⇒

⇒

⇒

⇒

⇒

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