Class 12-science RD SHARMA Solutions Maths Chapter 19 - Indefinite Integrals
Ex. 19.1
Ex. 19.2
Ex. 19.3
Ex. 19.4
Ex. 19.5
Ex. 19.6
Ex. 19.7
Ex. 19.8
Ex. 19.9
Ex. 19.10
Ex. 19.11
Ex. 19.12
Ex. 19.14
Ex. 19.15
Ex. 19.16
Ex. 19.17
Ex. 19.18
Ex. 19.19
Ex. 19.20
Ex. 19.32
Ex. 19.21
Ex. 19.22
Ex. 19.23
Ex. 19.24
Ex. 19.25
Ex. 19.26
Ex. 19.27
Ex. 19.28
Ex. 19.29
Ex. 19.30
Ex. 19.31
MCQ
Ex. 19VSAQ
Indefinite Integrals Exercise Ex. 19.1
Solution 1
Solution 2
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/194753_19.1-3E.jpg)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/70891_image007.gif)
Solution 5
![](https://images.topperlearning.com/topper/bookquestions/70901_image009.gif)
Solution 6
![](https://images.topperlearning.com/topper/bookquestions/70911_image011.gif)
Indefinite Integrals Exercise Ex. 19.2
Solution 1
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/70931_image015.gif)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/70941_image017.gif)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/70951_image019.gif)
Solution 5
![](https://images.topperlearning.com/topper/bookquestions/70961_image021.gif)
Solution 6
Solution 7
![](https://images.topperlearning.com/topper/bookquestions/70971_19.2-7E.jpg)
Solution 8
![](https://images.topperlearning.com/topper/bookquestions/70981_19.2-8E.jpg)
Solution 9
![](https://images.topperlearning.com/topper/bookquestions/70991_image027.gif)
Solution 10
![](https://images.topperlearning.com/topper/bookquestions/71001_19.2-10E.jpg)
Solution 11
![](https://images.topperlearning.com/topper/bookquestions/71011_image031.gif)
Solution 12
![](https://images.topperlearning.com/topper/bookquestions/71021_image033.gif)
Solution 13
![](https://images.topperlearning.com/topper/bookquestions/71031_image035.gif)
Solution 14
![](https://images.topperlearning.com/topper/bookquestions/71041_image037.gif)
Solution 15
![](https://images.topperlearning.com/topper/bookquestions/71051_image039.gif)
Solution 16
![](https://images.topperlearning.com/topper/bookquestions/71061_image041.gif)
Solution 17
![](https://images.topperlearning.com/topper/bookquestions/71071_image043.gif)
Solution 18
![](https://images.topperlearning.com/topper/bookquestions/71081_19.2-18E.jpg)
Solution 19
![](https://images.topperlearning.com/topper/bookquestions/71091_image047.gif)
Solution 20
Solution 21
Solution 22
![](https://images.topperlearning.com/topper/bookquestions/71121_image053.gif)
Solution 23
![](https://images.topperlearning.com/topper/bookquestions/194759_19.2-23E.jpg)
Solution 24
![](https://images.topperlearning.com/topper/bookquestions/71131_image055.gif)
Solution 25
![](https://images.topperlearning.com/topper/bookquestions/71141_image057.gif)
Solution 26
![](https://images.topperlearning.com/topper/bookquestions/71151_image059.gif)
Solution 27
![](https://images.topperlearning.com/topper/bookquestions/71161_image061.gif)
Solution 28
![](https://images.topperlearning.com/topper/bookquestions/71171_image063.gif)
Solution 29
![](https://images.topperlearning.com/topper/bookquestions/71181_image065.gif)
Solution 30
![](https://images.topperlearning.com/topper/bookquestions/71191_image067.gif)
Solution 31
![](https://images.topperlearning.com/topper/bookquestions/71201_image069.gif)
Solution 32
![](https://images.topperlearning.com/topper/bookquestions/71211_image071.gif)
Solution 33
![](https://images.topperlearning.com/topper/bookquestions/71221_image073.gif)
Solution 34
![](https://images.topperlearning.com/topper/bookquestions/71231_image075.gif)
Solution 35
![](https://images.topperlearning.com/topper/bookquestions/71241_image077.gif)
Solution 36
![](https://images.topperlearning.com/topper/bookquestions/71251_image079.gif)
Solution 37
![](https://images.topperlearning.com/topper/bookquestions/71261_image081.gif)
Solution 38
![](https://images.topperlearning.com/topper/bookquestions/71271_19.2-38E.jpg)
Solution 39
![](https://images.topperlearning.com/topper/bookquestions/71291_image085.gif)
Solution 40
![](https://images.topperlearning.com/topper/bookquestions/71321_image087.gif)
Solution 41
![](https://images.topperlearning.com/topper/bookquestions/71331_image089.gif)
Solution 42
Solution 43
Solution 44
Solution 45
Solution 46
Solution 47
Solution 48
Solution 49
Indefinite Integrals Exercise Ex. 19.3
Solution 1
![](https://images.topperlearning.com/topper/bookquestions/71511_image103.gif)
Solution 2
![](https://images.topperlearning.com/topper/bookquestions/71521_19.3-2E.jpg)
Solution 3
![](https://images.topperlearning.com/topper/bookquestions/71531_19.3-3E.jpg)
Solution 4
![](https://images.topperlearning.com/topper/bookquestions/71551_image109.gif)
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Solution 19
Indefinite Integrals Exercise Ex. 19.4
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Indefinite Integrals Exercise Ex. 19.5
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Indefinite Integrals Exercise Ex. 19.6
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Indefinite Integrals Exercise Ex. 19.7
Solution 1
Solution 2
Solution 3
Solution 4
Indefinite Integrals Exercise Ex. 19.8
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Solution 19
Solution 20
Solution 21
Solution 22
Solution 23
Solution 24
Solution 25
Solution 26
Solution 27
Solution 28
Solution 29
Solution 30
Solution 31
Solution 32
Solution 33
Solution 34
Solution 35
Solution 36
Solution 37
Solution 38
Solution 39
Solution 40
Solution 41
Solution 42
Solution 43
Solution 44
Solution 46
Solution 47
Solution 48
Solution 49
Solution 50
Solution 51
Solution 52
Indefinite Integrals Exercise Ex. 19.9
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Solution 19
Solution 20
Solution 21
Solution 22
Solution 23
Solution 24
Solution 25
Solution 26
Solution 27
Solution 28
Solution 29
Solution 30
Solution 31
Solution 32
Solution 33
Solution 34
Solution 35
Solution 36
Solution 37
Solution 38
Solution 39
Solution 40
Solution 41
Solution 42
Solution 43
Solution 44
Solution 45
Solution 46
Solution 47
Solution 48
Solution 49
Solution 50
Solution 51
Solution 52
Solution 53
Solution 54
Solution 55
Solution 56
Solution 57
Solution 58
Solution 59
Solution 60
Solution 61
Solution 62
Solution 63
Solution 64
Solution 65
Solution 66
Solution 67
Solution 68
Solution 69
Solution 70
Solution 71
Solution 72
Indefinite Integrals Exercise Ex. 19.10
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Indefinite Integrals Exercise Ex. 19.11
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Indefinite Integrals Exercise Ex. 19.12
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Indefinite Integrals Exercise Ex. 19.14
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Indefinite Integrals Exercise Ex. 19.15
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Indefinite Integrals Exercise Ex. 19.16
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Indefinite Integrals Exercise Ex. 19.17
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Indefinite Integrals Exercise Ex. 19.18
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Indefinite Integrals Exercise Ex. 19.19
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Indefinite Integrals Exercise Ex. 19.20
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Indefinite Integrals Exercise Ex. 19.32
Solution 3
Solution 1
Solution 2
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Indefinite Integrals Exercise Ex. 19.21
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Indefinite Integrals Exercise Ex. 19.22
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Indefinite Integrals Exercise Ex. 19.23
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Indefinite Integrals Exercise Ex. 19.24
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Indefinite Integrals Exercise Ex. 19.25
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Solution 19
Solution 20
Solution 21
Solution 22
Solution 23
Solution 24
Solution 25
Solution 26
Solution 27
Solution 29
Solution 30
Solution 31
Solution 32
Solution 33
Solution 34
Solution 35
Solution 36
Solution 37
Solution 38
Solution 39
Solution 40
Solution 41
Solution 42
Solution 43
Solution 44
Solution 45
Solution 46
Solution 47
Solution 48
Solution 49
Solution 50
Solution 51
Solution 52
Solution 54
Solution 55
Solution 56
Solution 57
Solution 58
Solution 59
Solution 60
Solution 61
Indefinite Integrals Exercise Ex. 19.26
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Solution 17
Solution 18
Solution 19
Solution 20
Solution 21
Solution 22
Solution 23
Solution 24
Indefinite Integrals Exercise Ex. 19.27
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Indefinite Integrals Exercise Ex. 19.28
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 14
Solution 15
Solution 16
Indefinite Integrals Exercise Ex. 19.29
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Indefinite Integrals Exercise Ex. 19.30
Solution 1
Solution 2
Solution 3
Solution 4
Solution 5
Solution 6
Solution 7
Solution 8
Solution 9
Solution 10
Solution 11
Solution 12
Solution 13
Solution 15
Solution 16
Solution 17
Solution 18
Solution 19
Solution 20
Solution 21
Solution 22
Solution 23
Solution 24
Solution 25
Solution 26
Solution 27
Solution 28
Solution 29
Solution 30
Solution 31
Solution 32
Solution 33
Solution 34
Solution 35
Solution 36
Solution 37
Solution 38
Solution 39
Solution 40
Solution 41
Solution 42
Solution 43
Solution 44
Solution 45
Solution 46
Solution 47
Solution 48
Solution 49
Solution 50