If int (sqrt(1+3sqrt(x)))/(x^(2//3))dx=2...

If `int (sqrt(1+3sqrt(x)))/(x^(2//3))dx=2f(x)^(3//2)+c`, then f(x)equals :

A

`2(1+root(3)x)^(1//3)+c`

B

`2(1+root(3)x)^(1//2)+c`

C

`2(1+root(3)x)^(4//3)+c`

D

`2(1+root(3)x)^(3//2)+c`

Verified by Experts

The correct Answer is:

D

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