Let f(x)=7tan^(8)x+7tan^(6)x-3tan^(4)x-3...

Let `f(x)=7tan^(8)x+7tan^(6)x-3tan^(4)x-3tan^(2)x` for all `x in(-(pi)/(2),(pi)/(2))`. Then the correct expression(s) is (are)-

A

`int_(0)^((pi)/(4))xf(x)dx=(1)/(12)`

B

`int_(0)^((pi)/(4))f(x)dx=0`

C

`int_(0)^((pi)/(4))xf(x)dx=(1)/(6)`

D

`int_(0)^((pi)/(4))f(x)dx=1`

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