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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. | |