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Let f(x) be a continuous function such t...

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all ` x in [0,a]`. Then, the value of the integral
`overset(a)underset(0)int (1)/(1+e^(f(x)))dx` is equal to

A

`a`

B

`(a)/(2)`

C

`f(a)`

D

`(1)/(2)f(a)`

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