RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 12. Indefinite Integral

Subject: Maths - Class 12th

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Chapter Exercises

Exercise 12
Objective Questions

Exercise 12

1

Evaluate :

Evaluate


i.


ii.


iii.


iv.


v.


vi.


vii.


viii.


ix.


2

Evaluate :

i.


ii.


iii.


3

Evaluate :

i.


ii.


iii.


4

Evaluate :

i.


ii.


iii.


iv.


v.


vi.


5

Evaluate :
6

Evaluate :

i.


ii.


iii.


iv.


7

Evaluate :
8

Evaluate :


Ans. - cosec x + tan x + x – sec x + C
9

Evaluate :

i.


ii.


10

Evaluate :

i.


ii.


iii.


11

Evaluate :

i.


ii.


12

Evaluate :

i.


ii.


13

Evaluate :

i.


ii.


14

Evaluate :

i.


ii.


15

Evaluate :

i.


ii.


16

Evaluate :
17

Evaluate :


Ans. sec x – cosec x + C
18

Evaluate :


Ans.


19

Evaluate :


Ans.


20

Evaluate :


Ans.


21

Evaluate :


Ans.


22

Evaluate :


Ans. 4 tan x – 9 cos x – 25x + C
23

Evaluate :


Ans.


24

Evaluate :


Ans.


25

Evaluate :


Ans.


26

Evaluate :


Ans.


27

Evaluate :


Ans. -log |cos x – sin x| + C
28

Evaluate :


Ans. cos(a – b)log |sin (x + b)| -x sin(a –b) + C
29

Evaluate :


Ans. x cos 2α - sin 2α . log |sin(x + α)| + C
30

Evaluate :


Ans.


31

Evaluate :


Ans. tan x – x + C
32

Evaluate :


Ans. 2 tan x – 3 sec x + C

Objective Questions

1

Mark (√) against the correct answer in each of the following:
2

Mark (√) against the correct answer in each of the following:
3

Mark (√) against the correct answer in each of the following:
4

Mark (√) against the correct answer in each of the following:
5

Mark (√) against the correct answer in each of the following:
6

Mark (√) against the correct answer in each of the following:
7

Mark (√) against the correct answer in each of the following:
8

Mark (√) against the correct answer in each of the following:
9

Mark (√) against the correct answer in each of the following:
10

Mark (√) against the correct answer in each of the following:
11

Mark (√) against the correct answer in each of the following:
12

Mark (√) against the correct answer in each of the following:
13

Mark (√) against the correct answer in each of the following:
14

Mark (√) against the correct answer in each of the following:
15

Mark (√) against the correct answer in each of the following:
16

Mark (√) against the correct answer in each of the following:
17

Mark (√) against the correct answer in each of the following:
18

Mark (√) against the correct answer in each of the following:
19

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20

Mark (√) against the correct answer in each of the following:
21

Mark (√) against the correct answer in each of the following:
22

Mark (√) against the correct answer in each of the following:
23

Mark (√) against the correct answer in each of the following:
24

Mark (√) against the correct answer in each of the following:
25

Mark (√) against the correct answer in each of the following:
26

Mark (√) against the correct answer in each of the following:
27

Mark (√) against the correct answer in each of the following:
28

Mark (√) against the correct answer in each of the following:
29

Mark (√) against the correct answer in each of the following:
30

Mark (√) against the correct answer in each of the following:
31

Mark (√) against the correct answer in each of the following:
32

Mark (√) against the correct answer in each of the following:
33

Mark (√) against the correct answer in each of the following:
34

Mark (√) against the correct answer in each of the following:
35

Mark (√) against the correct answer in each of the following:
36

Mark (√) against the correct answer in each of the following:
37

Mark (√) against the correct answer in each of the following:
38

Mark (√) against the correct answer in each of the following:
39

Mark (√) against the correct answer in each of the following:
40

Mark (√) against the correct answer in each of the following:
41

Mark (√) against the correct answer in each of the following: