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Each question in this section has four choices (a), (b), (c) and (d) out of which only one is correct. Mark your choices as follows:
(a) STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1
(b) STATEMEN7-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for STATEMENT-1
(c) STATEMENT-1 is True, STATEMENT-2 is False
(d) STATEMENT-1 is False, STATEMENT- 2 is True
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 \( x \).
Statement 2: \( \sin ^{2}(\pi+x)=\sin ^{2} x \) for all real \( x \).
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