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

    

प्रश्नावली - 7R

निम्न समाकलों का मान ज्ञात कीजिए:

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Question 1

1. (a) $\int \frac{d x}{x\left(x^4-1\right)}$
(b) $\int \frac{d x}{x\left(x^{3 / 2}+1\right)}$
(c) $\int \frac{d x}{x\left(x^2+1\right)^3}$

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Question 2

2. $\int \frac{d x}{x\left(a+b x^n\right)}$

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Question 3

3. (a) $\int \frac{d x}{\left(x^2+a^2\right)\left(x^2+b^2\right)}$
(b) $\int \frac{x^2 d x}{\left(x^2+1\right)\left(x^2+4\right)\left(x^2+9\right)}$

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Question 4

4. (a) $\int \frac{x^2+1}{x^4+x^2+1} d x$
(b) $\int \frac{x^2-1}{x^4+x^2+1} d x$

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Question 5

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

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Question 6

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

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Question 7

7. $\int \frac{d x}{x\left(x^4+1\right)}$

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Question 8

8. $\int \frac{\cos x d x}{(2+\sin x)(1+\sin x)^2}$

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Question 9

9. $\int \frac{\cos x d x}{(1+\sin x)(2+\sin x)}$

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Question 10

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