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

   

प्रश्नावली - 7B

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Question 1

निम्नलिख्वित का मान ज्ञात कीजिए
1. $\int\left(a x^2+b x+c\right) d x$.

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Question 2

2. $\int\left(8 x^7-4 x^7+6\right) d x$.

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Question 3

3. $\int\left(e^x+2 \sin x-3 \cos x\right) d x$.

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Question 4

4. $\int\left(x^2-\cos x+\sec x \tan x\right) d x$.

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Question 5

5. $\int(x+3)(2 x+5) d x$.

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Question 6

6. $\int \frac{(1+x)^3}{\sqrt{x}} d x$.

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Question 7

7. $\int \frac{3 x^3+2 x^2+3 x+1}{3\left(x^2+1\right)} d x$.

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Question 8

8. $\int\left(\frac{1}{\sqrt{x}}-\sqrt{x}\right) d x$.

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Question 9

9. $\int\left(\frac{3 x^2+4 x+5}{\sqrt{x}}\right) d x$.

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Question 10

10. $\int \frac{x}{a+x} d x$.

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Question 11

11. $\int\left(1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\ldots ..\right) d x$.

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Question 12

12. $\int\left(1-x^2\right) \sqrt{x} d x$.

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Question 13

13. $\int \frac{\sec \theta}{\tan ^2 \theta} d \theta$.

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Question 14

14. $\int\left(\sin x-\frac{2}{x}+e^x\right) d x$.

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Question 15

15. $\int \frac{e^{\log _e x}}{x} d x$.

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Question 16

16. $\int\left(\cos x-\frac{5}{x}+e^x\right) d x$.

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Question 17

17. $\int \frac{1}{1-\cos x} d x$.

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Question 18

18. $\int \sqrt{1+\cos 2 x} d x$.

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Question 19

19. $\int \frac{2-3 \sin x}{\cos ^2 x} d x$.

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Question 20

20. $\int\left(\frac{2 \cos x}{3 \sin ^2 x}-1\right) d x$.

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Question 21

21. $\int \frac{x^4+1}{x^2+1} d x$.

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Question 22

22. $\int \frac{\sin x}{1-\sin x} d x$.

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Question 23

23. $\int \frac{5 \cos ^3 x+2 \sin ^3 x}{2 \sin ^2 x \cos ^2 x} d x$.

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Question 24

24. $\int \frac{d x}{\sqrt{x+a}+\sqrt{x+b}}$

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Question 25

25. $\int \frac{\sin ^8 x-\cos ^8 x}{1-2 \sin ^2 x \cos ^2 x} d x$