A) \[\pi /4\]
B) \[\pi /2\]
C) \[a\]
D) \[2a\]
Correct Answer: C
Solution :
\[I=\int_{0}^{2a}{\frac{f(x)}{f(x)+f(2a-x)}dx}\] ?(i) \[I=\int_{0}^{2a}{\frac{f(2a-x)}{f(2a-x)+f(x)}}\] Equation (i) + (ii) \[2I=\int_{0}^{2a}{dx\Rightarrow 2I=2a\Rightarrow I=a}\]
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