If f and g are continuous functions in [0, 1] satisfying f(x) = f(a � – InterviewSolution

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1.	If f and g are continuous functions in [0, 1] satisfying f(x) = f(a – x) and g(x) = g(a – x) = a, then ∫0afx gx dx is equal to(a) a2(b) a2∫0afx dx(c) ∫0afx dx(d) a∫0bfx dx
Answer» If f and g are continuous functions in [0, 1] satisfying f(x) = f(a – x) and g(x) = g(a – x) = a, then $\int_{0}^{a} f (x) g (x) d x$ is equal to (a) $\frac{a}{2}$ (b) $\frac{a}{2} \int_{0}^{a} f (x) d x$ (c) $\int_{0}^{a} f (x) d x$ (d) $a \int_{0}^{b} f (x) d x$

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