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int ((sin theta + cos theta))/(sqrt(sin ...

`int ((sin theta + cos theta))/(sqrt(sin 2 theta))d theta =`

A

`log |cos theta - sin theta + sqrt(sin 2 theta)|`

B

`log |sin theta - cos theta + sqrt(sin 2 theta)|`

C

`sin^(-1) (sin theta - cos theta) + c`

D

`sin^(-1) (sin theta + cos theta) + c`

लिखित उत्तर

Verified by Experts

The correct Answer is:
C
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ERRORLESS HINDI-अनिश्चित समाकलन -EXERCISE
  1. int cos^(-3//7)x sin^(-11//7)x dx =

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  2. int (1)/(1+cos x + sin x)dx =

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  3. int ((sin theta + cos theta))/(sqrt(sin 2 theta))d theta =

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  4. I = int (dx)/((1+e^(x))(1+e^(-x))) का क्या मान है

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  5. int x^(x) (1 + log x) dx =

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  6. int e^(3 log x) (x^(4)+1)^(-1) dx =

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  7. int "cosec"^(4)x dx =

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  8. यदि int f(x) dx = g(x), तब int f^(-1) (x) dx =

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  9. int (sin^(-1)x)/(sqrt(1-x^(2)))dx बराबर है जहाँ c स्वेच्छ अचर है

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  10. int (x)/(sqrt(4-x^(4)))dx =

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  11. int (sin x dx)/(3 + 4 cos^(2)x) =

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

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

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

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

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

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

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

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

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

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