By using properties of definite integrals, evaluate the integrals Sh – InterviewSolution

1.	By using properties of definite integrals, evaluate the integrals Show that ∫a0f(x)g(x)dx=2∫a0f(x)dx, if f and g are defined asf(x)=f(a−x) and g(x)+g(a−x)=4
Answer» By using properties of definite integrals, evaluate the integrals Show that $\int_{0}^{a} f (x) g (x) d x = 2 \int_{0}^{a} f (x) d x,$ $if f and g are defined$ $a s f (x) = f (a - x) and g (x) + g (a - x) = 4$

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