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JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy
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Application +4 | -1
If ff and gg are continuous functions on [0,π][0, \pi] satisfying f(x)+f(π−x)=1=g(x)+g(π−x),f(x)+f(\pi-x)=1=g(x)+g(\pi-x), \quad then ∫0π{f(x)+g(x)}dx\int_0^\pi\{f(x)+g(x)\} d x is equal to
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Correct option: A
π\pi
Option A (π\pi) is correct because it uses the given functional equations to simplify the integral.

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