1.

Let \[f:R\to R\] and \[g:R\to R\] be continuous functions, then the value of the integral \[\int_{-\pi /2}^{\pi /2}{[f(x)+f(-x)]\,\,[g(x)-g(-x)]\,dx=}\] [IIT 1990; DCE 2000; MP PET 2001]

A. \[\pi \]
B. 1
C. \[-1\]
D. 0
Answer» E.


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