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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 in R^(+)`.
Then `I=int_(0)^(a)(dx)/(1+f(x))` is equal to

A

(a) `a`

B

(b) `a/4`

C

(c) `a/2`

D

(d) `f(a)`

Text Solution

Verified by Experts

The correct Answer is:
C
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