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int (x^(2)+1)/(x^(4)-x^(2)+1)dx =...

`int (x^(2)+1)/(x^(4)-x^(2)+1)dx =`

A

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

B

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

C

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

D

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

लिखित उत्तर

Verified by Experts

The correct Answer is:
C
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ERRORLESS HINDI-अनिश्चित समाकलन -EXERCISE
  1. यदि int f(x) sin x cos x dx = (1)/(2(b^(2)-a^(2)))log (f(x)) + c, "तब"...

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  2. int (dx)/(4 sin^(2)x + 5 cos^(2)x) =

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  3. int (x^(2)+1)/(x^(4)-x^(2)+1)dx =

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  4. int (log x)^(2) dx =

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  5. int (sqrt((x^(2)-a^(2))))/(x)dx का मान होगा

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  6. int tan^(3) 2x sec 2x dx =

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  7. int sqrt((a-x)/(x))dx =

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  8. यदि x in ((pi)/(4),(3pi)/(4)),"तब" int (sin x - cos x)/(sqrt(1-sin 2x)...

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  9. यदि int (4e^(x)+6e^(-x))/(9e^(x) - 4e^(-x))dx = Ax + B log(9e^(2x)-4) ...

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  10. int sec^(3) x dx का मान होगा

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  11. int (x-1)/((x+1)^(3))e^(x) dx =

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  12. यदि I = int e^(x) sin 2x dx, तब K के किस मान के लिए KI = e^(x) (sin 2x...

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  13. int (dx)/(3-2x-x^(2)) का मान होगा

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  14. int x sqrt(2x + 3) dx =

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  15. int cos 2 theta log ((cos theta + sin theta)/(cos theta - sin theta))d...

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

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  17. यदि u = int e^(ax) cos bx dx "और" v = int e^(ax) sin bx dx, "तब" (a^(2...

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  18. यदि I(n) = int (log x)^(n) dx, "तब" I(n) + nI(n-1)=

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  19. int e^(x//2) sin ((x)/(2)+(pi)/(4))dx =

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  20. यदि int (2x + 3)/(x^(2)-5x+6)dx = 9 In (x-3)-7 In (x-2) + A, तब A =

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