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 `int_(0)^(a)(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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The correct Answer is:

B

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