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

    

प्रश्नावली - 7H

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Question 1

निम्नलिख्वित के माज ज्ञात कीजिए-
1. $\int \frac{\tan \left(1+\log _e x\right)}{x} d x$.

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Question 2

2. $\int \frac{\tan x}{\log \sec x} d x$.

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Question 3

3. $\int \frac{2 \cos x-3 \sin x}{6 \cos x+4 \sin x} d x$.

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Question 4

4. $\int \frac{\sec x}{\log (\sec x+\tan x)} d x$.

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Question 5

5. $\sqrt{\sin 2 x} \cdot \cos 2 x d x$

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Question 6

6. $\int \frac{\sqrt{\tan x}}{\sin x \cos x} d x$.

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Question 7

7. $\int \frac{\operatorname{cosec}^2 x}{1+\cot x} d x$.

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Question 8

8. $\int \sin x \sqrt{a^2-\cos x} d x$.

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Question 9

9. $\int \frac{e^{2 x}-e^{-2 x}}{e^{2 x}+e^{-2 x}} d x$.

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Question 10

10. $\int \frac{1}{1+\cot x} d x$.

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Question 11

11. $\int \sec x \log (\sec x+\tan x) d x$.

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Question 12

12. $\int \frac{1}{\cos (x+a) \sin (x+b)} d x$.