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General Tips for Choosing Function

16. A Functio...

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16. A Function F(x) satisfies the functional equation x F(x) + F(1-x) = 2x - x, for all real x. What should be F(x).

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Q. Let F(x) be an indefinite integral of

{sin}^{2} x .

STATEMENT-1 The function F(x) satisfies

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f (x + y) = f (x) + f (y)

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