Let f and g be continuous functions on [0, a]such that f(x) = f(a-x) and g(x)+g(a-x)=4, then \int^{a}_{0} f (x) g (x) dx is equal to : [12 Jan 2019 Shift 1]

Correct Answer is : 2 a∫0 f (x) dx

JEE Main 12 Jan 2019 Shift 1 Solved Paper

Section: Mathematics

Question : 44 of 90

Marks: +1, -0

Let f and g be continuous functions on [0, a]such that f(x) = f(a-x) and g(x)+g(a-x)=4,
then

∫

f (x) g (x) dx is equal to :

[12 Jan 2019 Shift 1]

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