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If f'(x) = tan^(-1)(Sec x + tan x), x in...

If `f'(x) = tan^(-1)(Sec x + tan x), x in (-pi/2 , pi/2)` and `f(0) = 0` then the value of `f(1)` is

A

`1/4`

B

`(pi-1)/4`

C

`(pi+1)/4`

D

`(pi+2)/4`

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The correct Answer is:
D
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