The value of I=int(0)^((pi)/(4))(tan^(n+...

The value of `I=int_(0)^((pi)/(4))(tan^(n+1)x)dx+(1)/(2)int_(0)^((pi)/(2))tan^(n-1)((x)/(2))dx` is equal to-

A

`(1)/(n)`

B

`(n+2)/(2n+1)`

C

`(2n-1)/(n)`

D

`(2n-3)/(3n-2)`

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