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Let f : R -> R and g : R -> R be contin...

Let `f : R -> R` and `g : R -> R` be continuous functions. Then the value of the integral `int_(pi/2)^(pi/2)[f(x)+f(-x)][g(x)-g(-x)]dx` is

A

`pi`

B

`1`

C

`-1`

D

`0`

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