Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let F(x) be an indefinite integral of sin 2 x.
STATEMENT-1 : The function F(x) satisfies F(x + π ) = F(x) for all real x.
because
STATEMENT-2 : sin 2 (x + π ) = sin 2 x for all real x.
Text Solution
Verified by ExpertsThe correct answer is:
D
Statement - 1 F(x) = 
= 
dx = 
+ c
Which is aperiodic function. Hence statement is false.
Statement - 2 sin 2 x is periodic with the period π, hence statement is true.
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