A) 0
B) 1
C) \[a\]
D) \[2a\]
Correct Answer: C
Solution :
Let\[I=\int_{0}^{2a}{\frac{f(x)}{f(x)+f(2a-x)}}dx\] ...(i) \[\Rightarrow \]\[I=\int_{0}^{2a}{\frac{f(2a-x)}{f(x)+f(2a-x)}}dx\] ?(ii) On adding Eqs. (i) and (ii), we get \[2I=\int_{0}^{2a}{1\,}dx\Rightarrow 2I[x]_{0}^{2a}\] \[\Rightarrow \] \[2I=2a\] \[\Rightarrow \] \[I=a\]You need to login to perform this action.
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