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int (3 + 2 cos x)/(2 + 3 cos x)^2 dx is ...

`int (3 + 2 cos x)/(2 + 3 cos x)^2 dx` is equal to

A

`(sinx/(3 cos x + 2)) + c`

B

`(cosx/(3 sin x + 2)) + c`

C

`((2cosx)/(3 cos x + 2)) + c`

D

`((2sinx)/(3 cos x + 2)) + c`

Text Solution

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The correct Answer is:
A
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PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
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  13. If int tan^4 x dx = a tan^3 x + b tan x + phi(x) then

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  14. If int sinx/sin(x-alpha) dx = Ax + B log sin(x - alpha) + c

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  15. If int (4e^x + 6e^-x)/(9e^x - 4e^-x) dx = Ax + B loge(9e^(2x) - 4) + c...

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  16. If int x log(1 + x^2) dx = phi(x) log(1 + x^2) + psi(x) + c then

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  17. int dx/((x+1)(x-2)) = A log (x + 1) + B log (x - 2) + c where

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  18. If int (xe^x)/(sqrt(1 + e^x)) dx = f(x) sqrt(1 + e^x) - 2 In g(x) + c...

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  19. If I = int (sin x + sin^3 x)/(cos 2x) dx = A cos x + B log abs(f(x)) +...

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