Dr.Harswaroop Sharma Mathematics Solution Class 12 Chapter 7 समाकलन (Integration) Exercise 7G

    

प्रश्नावली - 7G

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Question 1

निम्नलिखित प्रश्नों में प्रत्येक फलन का समाकलन ज्ञात कीजिए :
1. $\cot ^2 x$

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Question 2

2. $(\tan x+\cot x)^2$

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Question 3

3. $\sin ^2(2 x+5)$

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Question 4

4. $\sin 3 x \cos 4 x$

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Question 5

5. $\frac{1}{1-\cos 2 x}$

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Question 6

6. $\frac{1}{1+\cos 2 x}$

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Question 7

7. $\sqrt{1+\sin 2 x}$

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Question 8

8. $\cos 2 x \cos 4 x \cos 6 x$

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Question 9

9. $\sin ^3(2 x+1)$

Sol :

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Question 10

10. $\frac{1-\cos 2 x}{1+\cos 2 x}$

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Question 11

11. $\frac{\sin x+\cos x}{\sqrt{1+\sin 2 x}}$

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Question 12

12. $\frac{\cos 2 x-\cos 2 \alpha}{\cos x-\cos \alpha}$

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Question 13

13. $\frac{\sec x+\tan x}{\sec x-\tan x}$

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Question 14

14. $\sin ^3 x \cos ^3 x$

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Question 15

15. $\sin x \sin 2 x \sin 3 x$

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Question 16

16. $\sin 4 x \sin 8 x$

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Question 17

17. $\sqrt{1+\sin \frac{x}{2}}$

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Question 18

18. $\frac{1-\cos x}{1+\cos x}$

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Question 19

19. $\frac{\cos x}{1+\cos x}$

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Question 20

20. $\sin ^4 x$

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Question 21

21. $\cos ^4 2 x$

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Question 22

22. $\frac{\sin ^2 x}{1+\cos x}$

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Question 23

23. $\frac{\cos x-\sin x}{1+\sin 2 x}$

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Question 24

24. $\tan ^4 x$

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Question 25

25. $\frac{\sin ^3 x+\cos ^3 x}{\sin ^2 x \cos ^2 x}$

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Question 26

26. $\frac{\cos 2 x+2 \sin ^2 x}{\cos ^2 x}$

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Question 27

27. $\frac{1}{\sin x \cos ^3 x}$

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Question 28

28. $\frac{\cos 2 x}{(\cos x+\sin x)^2}$

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Question 29

29. $\sin ^{-1}(\cos x)$