If I=int(dx)/(root(3)(x^((5)/(2))(1+x)^(...

If `I=int(dx)/(root(3)(x^((5)/(2))(1+x)^((7)/(2))))=kf(x)+c`, where c is the integration constant and `f(1)=(1)/(2^((1)/(6)))`, then the value of f(2) is

A

`6((2)/(3))^((1)/(6))`

B

`6((3)/(2))^((1)/(6))`

C

`((2)/(3))^((1)/(6))`

D

`((2)/(3))^(6)`

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The correct Answer is:

C

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