JEE Advanced 2007 Mathematics question

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

(A)Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
(B)Statement-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 TrueCorrect

Answer: (D)

Solution

Statement-2: , so : true. Statement-1: ,

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Question ID VK-037460