Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 31 of Miscellaneous Exercise

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31

Evaluate the definite integral:

Given:



Let sin x = t ⇒ cos x dx = dt


When x =0 then t = 0 and when x = π /2 then t = 1
















31

Chapter Exercises

Exercise 7.2
Exercise 7.4
Exercise 7.5
Exercise 7.3
Exercise 7.1
Exercise 7.6
Exercise 7.8
Exercise 7.9
Exercise 7.10
Exercise 7.11
Exercise 7.7
Miscellaneous Exercise

More Exercise Questions

1

Integrate the function:

2

Integrate the function:

3

Integrate the function:

4

Integrate the function:

5

Integrate the function:

6

Integrate the function:

7

Integrate the function:

8

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9

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10

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11

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12

Integrate the function:

13

Integrate the function:

14

Integrate the function:

15

Integrate the function:

16

Integrate the function:

17

Integrate the function:

18

Integrate the function:

19

Integrate the function:

20

Integrate the function:

21

Integrate the function:

22

Integrate the function:

23

Integrate the function:

24

Integrate:

25

Evaluate the definite integral:
26

Evaluate the definite integral:
27

Evaluate the definite integral:
28

Evaluate the definite integral:

29

Evaluate the definite integral:
30

Evaluate the definite integral:

31

Evaluate the definite integral:
32

Evaluate the definite integral:
33

Evaluate the definite integral:
34

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35

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36

Prove:

37

Prove:

38

Prove:

39

Prove:

40

Evaluate as a limit of a sum.
41

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is equal to
42

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is equal to
43

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44

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The value of