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If f:RR, g:RR are continuous functions then the value of the integral

π/2π/2[(f(x)+f(x))(g(x)  g(x))] dx is 

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detailed solution

Correct option is B

Let F(x) =(f(x)+f(-x))(g(x)-g(-x)) so F(−x)=(f(−x)+f(x))(g(−x)−g(x))=−F(x).Hence  ∫−π/2π/2 f(x)dx=0. (since F(x) is odd function)


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