If f(x) =|[cos x,1,0],[1,2 cos x,1],[0,1...

If `f(x) =|[cos x,1,0],[1,2 cos x,1],[0,1,2 cos x]|`, then `int_0^(pi/2) f(x) dx` is equal to

A

`1/4`

B

`1/3`

C

`-1/4`

D

`-1/3`

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