int dx/(x(1+root(3)(x))^2) is equal to :...

`int dx/(x(1+root(3)(x))^2)` is equal to : (i)`3log(x^(1/3)/(1+x^(1/3))+1/(1+x^(1/3)))+C` (ii) `3log(((1+x^(1/3))/x^(1/3))+1/(1+x^(1/3)))+C` (iii) `3log(((1+x^(1/3))/x^(1/3))+1/(1+x^(1/3)))+C` (iv) none of these

A

`3(log""(x^(1//3))/(1+x^(1//3))+(1)/(1+root(3)(x)))+C`

B

`3(log""(1+root(3)(x))/(root(3)(x))+(1)/(1+root(3)(x)))+C`

C

`3(log""(1+root(3)(x))/(root(3)(x))-(1)/(1+root(3)(x)))+C`

D

None of these

Verified by Experts

The correct Answer is:

A

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