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int {((log x-1))/(1+(log x)^(2))}^(2)dx ...

`int {((log x-1))/(1+(log x)^(2))}^(2)dx =`

A

`(xe^(x))/(1+x^(2))+c`

B

`(x)/((log x)^(2)+1) + c`

C

`(log x)/((log x)^(2)+1) + c`

D

`(x)/(x^(2) + 1) + c`

लिखित उत्तर

Verified by Experts

The correct Answer is:
B
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ERRORLESS HINDI-अनिश्चित समाकलन -EXERCISE
  1. int (sin x dx)/(3 + 4 cos^(2)x) =

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  2. int (dx)/(sqrt(x) (x+9))dx का मान है

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  3. int {((log x-1))/(1+(log x)^(2))}^(2)dx =

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  4. यदि int (cos 4x + 1)/(cot x - tan x) dx = k cos 4x + c तब

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  5. यदि int (1)/(x+x^(5))dx = f(x) + c,"तब" int (x^(4))/(x+x^(5))dx का मान...

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  6. माना f(x) = int (x^(2)dx)/((1+x^(2))(1+sqrt(1+x^(2)))) और f(0) = 0, तब...

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  7. int sqrt(e^(x) - 1)dx =

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  8. माना int (x^(2) dx)/(sqrt(1-x)) = P sqrt((1-x))(3x^(2) + 4x + 8), तब P...

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  9. sqrt(2) int (sin x dx)/(sin (x-(pi)/(4))) बराबर है

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  10. माना I = int (e^(x))/(e^(4x) + e^(2x) + 1)dx, J = int (e^(-x))/(e^(-4x...

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  11. int (x^(3)dx)/((x^(2)+1)^(3)) बराबर है

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  12. int (x sin x)/(x cos x - sin x-1)dx = ..... + C

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  13. int (dx)/((x-3)sqrt(x+1)) का मान है

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  14. int (x+1)(x+2)^(7)(x+3)dx =

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  15. int (x^(2)+1) sqrt(x+1) dx =

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  16. int (1+x)/(x+e^(-x))dx =

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  17. int (cos x + x sin x)/(x^(2)+x cos x)dx =

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  18. int (dx)/(e^(2x) - 3e^(x))=

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  19. int (2-sin x)/(2+cos x)dx=

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  20. समाकलन int (sec^(2)x)/((sec x+tan x)^(9//2))dx का मान निम्न है (किसी य...

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