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If int (3x+4)/(x^3-2x-4) \ dx = log|x-2|...

If `int (3x+4)/(x^3-2x-4) \ dx = log|x-2| + k logf(x) + c`, then (i) `f(x) = |x^2+2x+2|` (ii) `f(x) = x^2+2x+2` (iii) `k=1/2` (iv) `k=-1/4`

A

`f(x)=|x^(2)2x+2|`

B

`f(x)=x^(2)+2x+2`

C

`k=(1)/(4)`

D

`k=-(1)/(2)`

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