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int (x + 5)/((x-1)^2 (x-2)) dx =...

`int (x + 5)/((x-1)^2 (x-2)) dx =`

A

`-7 logabs(x-1) - 6/(x - 1) + 7 logabs(x-2) + c`

B

`-7 logabs(x-1)+ c`

C

`-7 logabs(x-1) + 6/(x - 1) + 7 logabs(x-2) + c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
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  2. I = int 1/(cos^4 x) dx is equal to

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  3. int (x + 5)/((x-1)^2 (x-2)) dx =

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

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  5. int (x^2 - 1)/((x^2 +1) sqrt(x^4 + 1)) dx is equal to ?

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  6. I = int (x + x^(2/3) + x^(1/6))/(x (1+x^(1/3))) dx is equal

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  7. int (x^2 - 1)/((x^3)sqrt(2x^4- 2x^2 + 1)) dx is equal to

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  8. The value of the integral int e^(sin^2 x) (cos x + cos^3 x) sin x dx i...

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  9. int xabsx dx =

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  10. If f(x) = x^2, then /\^2 f(x) is

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  11. Integral of sqrt(1 + 2cot x (cot x + cosec x)) w.r.t.x, is

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  12. int (e^(2001x) + e^(1999x))/(e^x + e^-x) dx is

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  13. The primitive of the function f(x) =xabs(cosx), when x in (pi/2, pi) i...

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  14. If int tan^4 x dx = a tan^3 x + b tan x + phi(x) then

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

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

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

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

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

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

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