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Let f be a non-constant continuous funct...

Let f be a non-constant continuous function for all `xge0`. Let f satisfy the relation `f(x)f(a-x)=1` for some `a inR`. Then `I=int_(0)^(a)(dx)/(1+f(x))` is equal to

A

a

B

`(a)/(4)`

C

`(a)/(2)`

D

`f(a)`

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