If \[f(x)\] and \[\phi (x)\] are continuous functions on the interval \[[0,4]\] satisfying \[f(x)=f(4-x)\], \[\phi (x)+\phi (4-x)=3\] and \[\int\limits_{0}^{4}{f(x)dx=2,}\] then \[\int\limits_{0}^{4}{f(x)\phi (x)dx}\]

If \[f(x)\] and \[\phi (x)\] are continuous functions on the interval

1.	If \[f(x)\] and \[\phi (x)\] are continuous functions on the interval \[[0,4]\] satisfying \[f(x)=f(4-x)\], \[\phi (x)+\phi (4-x)=3\] and \[\int\limits_{0}^{4}{f(x)dx=2,}\] then \[\int\limits_{0}^{4}{f(x)\phi (x)dx}\]
A.	3
B.	6
C.	2
D.	None of these
Answer» B. 6

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If \[f(x)\] and \[\phi (x)\] are continuous functions on the interval \[[0,4]\] satisfying \[f(x)=f(4-x)\], \[\phi (x)+\phi (4-x)=3\] and \[\int\limits_{0}^{4}{f(x)dx=2,}\] then \[\int\limits_{0}^{4}{f(x)\phi (x)dx}\]

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