A) 0
B) \[\frac{8}{3}\]
C) 1
D) None of these
Correct Answer: A
Solution :
Let \[\varphi (x)=[f(x)+f(-x)][g(x)-g(-x)]\] then, \[\varphi (-x)=[f(-x)+f(x)]\,[g(-x)-g(x)]\] \[\therefore \int_{-\pi }^{\pi }{\varphi (x)dx=0}\]Þ\[\int_{-\pi }^{\pi }{[f(x)+f(-x)][g(x)-g(-x)]dx=0}\].You need to login to perform this action.
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