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Examples on Integrals Involving Inverse Trigonometric Functions.

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Presentation on theme: "Examples on Integrals Involving Inverse Trigonometric Functions."— Presentation transcript:

1 Examples on Integrals Involving Inverse Trigonometric Functions

2 Examples I

3 1.

4

5 2.

6

7 2*

8

9 3.

10

11 Examples II

12 1.

13

14

15

16 3.

17

18 Examples III

19 1.

20

21 2.

22

23 3.

24

25 Examples IV

26 1.

27

28 2.

29

30 3.

31

32 Caution!!

33 Do not Confuse the arcsin formula with the power formula! Example 1 Notice the difference between the previous integral And the integral

34

35 Do not Confuse the arcsin formula with the power formula! Example 2 Notice the difference between the previous integral And the integral

36

37 Do not Confuse the arcsin formula with the power formula! Example 3 Notice the difference between the previous integral and the integral

38

39 Do not Confuse the arctan formula with the logarithmic formula! Example 1 Notice the difference between the previous integral And the integral

40

41 Do not Confuse the arctan formula with the logarithmic formula! Example 2 Notice the difference between the previous integral And the integral Or the integral

42

43

44 Do not Confuse the arctan formula with the logarithmic formula! Example 3 Notice the difference between the previous integral and the integral

45


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