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

    

प्रश्नावली - 7X

निम्न समाकलों का मान ज्ञात कीजिए

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Question 1

1. $\int_0^{\infty} e^{-x / 2} d x$.

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Question 2

2. $\int_0^{\infty} x e^{-x} d x$.

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Question 3

3. $\int_0^{\infty} \frac{d x}{a^2+x^2}$.

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Question 4

4. $\int_0^{\infty} \frac{d x}{x^2 \sqrt{a^2+x^2}}$.

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Question 5

5. $\int_0^{\infty} \frac{e^x d x}{1+e^{2 x}}$.

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Question 6

6. $\int_1^{\infty} \frac{\left(x^2+3\right) d x}{x^6\left(x^2+1\right)}$.