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If f x and g x are continuous functions satisfying f x f a minus x and g x g a minus x 2 then what i...........

Mathematics (NDA) Applications of Derivatives

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If f(x) and g(x) are continuous functions satisfying f(x)=f(a−x) and g(x)+g(a−x)=2,then what is

$\small \int_{0}^{a}f(x)g(x)dx$

equal to?

$\small \small \int_{0}^{a}g(x)dx$

$\small \small \small \int_{0}^{a}f(x)dx$

$\small 2\int_{0}^{a}f(x)dx$

$\small \int_{0}^{a}0$

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By: Munesh Kumari

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