A) 3
B) 6
C) 2
D) None of these
Correct Answer: A
Solution :
[a] \[\int\limits_{0}^{4}{f(x)\phi (x)dx=\int\limits_{0}^{4}{f(4-x)\phi (4-x)dx}}\] \[=\int\limits_{0}^{4}{f(x).(3-\phi (x))dx}\] \[\left[ \begin{align} & \because f(x)=f(4-x) \\ & and\,\,\phi (x)+\phi (4-x)=3 \\ \end{align} \right]\] \[=3\int\limits_{0}^{4}{f(x)dx-I\Rightarrow 2I=3.2\therefore I=3}\]
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