The value of int(1+(sinx)^(2//3))/(1+(si...

The value of `int(1+(sinx)^(2//3))/(1+(sinx)^(4//3))d(root(3)(sinx)):`

A

`sin^(-1)(1+root(3)sinx)+c`

B

`sin^(-1)(root(3)sinx)+c`

C

`1/sqrt2tan^(-1)((root(3)(sin^(2)x)-1)/(sqrt2root(3)sinx))+c`

D

`1/sqrt2tan^(-1)((root(3)(sinx))/sqrt2)+c`

Verified by Experts

The correct Answer is:

C

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