JEE Delight | ISI 2016 | Calculus | Definite integral | Integrate (x-f(x))^2016 if f(f(x))=x

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JEE Delight | ISI 2016 | Calculus | Definite integral | Integrate (x-f(x))^2016 if f(f(x))=x Support the channel:
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Couldnt we directly have said f(f(x)) = x implies that f(x) is its own inverse, so f(x) must be such that it's reflection about y=x is f(x) itself, so f(x ) = 1-x .

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