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Let $$F(x)$$ be an indefinite integral of $$\sin^2 x$$.
STATEMENT-1 : The function $$F(x)$$ satisfies $$F(x + \pi) = F(x)$$ for all real x.
because
STATEMENT-2: $$\sin^2 (x + \pi) = \sin^2 x$$ for all real x.
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