Mathematics Part-II

Book: Mathematics Part-II

Chapter: 7. Integrals

Subject: Maths - Class 12th

Q. No. 38 of Miscellaneous Exercise

Listen NCERT Audio Books - Kitabein Ab Bolengi

38

Prove:

Given:







First solve for I1:



Let tan x = t ⇒ sec2 x dx = dt


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





Put in equ. (2)








L.H.S = R.H.S


Hence Proved.


38

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

Integrate the function:

9

Integrate the function:

10

Integrate the function:

11

Integrate the function:

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

Prove:

35

Prove:

36

Prove:

37

Prove:

38

Prove:

39

Prove:

40

Evaluate as a limit of a sum.
41

Choose the correct answers

is equal to
42

Choose the correct answers

is equal to
43

Choose the correct answers

If f (a + b – x) = f (x), then is equal to
44

Choose the correct answers

The value of