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यदि int (4e^(x)+6e^(-x))/(9e^(x) - 4e^(-...

यदि `int (4e^(x)+6e^(-x))/(9e^(x) - 4e^(-x))dx = Ax + B log(9e^(2x)-4) + C`, तब A, B और C हैं

A

`A = (3)/(2),B=(36)/(35), C = (3)/(2) log 3` + अचर

B

`A = (3)/(2),B=(35)/(36), C = (3)/(2) log 3` + अचर

C

`A = -(3)/(2),B=-(35)/(36), C = -(3)/(2) log 3` + अचर

D

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Verified by Experts

The correct Answer is:
D
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ERRORLESS HINDI-अनिश्चित समाकलन -EXERCISE
  1. int sqrt((a-x)/(x))dx =

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

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

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  4. int sec^(3) x dx का मान होगा

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

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

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

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

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

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

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

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

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

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

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  15. int (dx)/(2+cos x) =

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

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

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  18. यदि int (2x + 3)/((x-1)(x^(2)+1))dx = log(e) {(x-1)^((5)/(2)) (x^(2) +...

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  19. यदि int ((2x^(2)+1)dx)/((x^(2) - 4)(x^(2)-1))=log[((x+1)/(x-1))^(a) ((...

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  20. int sqrt(1+"cosec x") dx =

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