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

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

A

A + B = 0

B

AB = 1

C

A : B = 2

D

None of these

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The correct Answer is:
A
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PATHFINDER-INDEFINITE INTEGRATION-QUESTION BANK
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  2. If int x log(1 + x^2) dx = phi(x) log(1 + x^2) + psi(x) + c then

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

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

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

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  7. The value of int0^x (t - abst)^2/(1 + t^2) dt is equal to

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  11. If i(m - 2 , n + 2) = int sin^(m - 2)x cos^(n+2)x dx and I(m,n) = - (s...

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  12. If In = int x sin^n x dx and In = -(x sin^(n-1)x cos x)/n + (sin^n x)/...

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  19. If int (sqrttanx + sqrtcotx) dx = a tan^-1 ((tan x - 1)/sqrt(b tan x))...

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