If f(x+y)=f(x)+f(y), then what is _ -1 ^ 1 f(x) ,dx equal to?

NDA 2026 Mathematics question

If , then what is equal to?

Answer: (A)

Put : . Put : $f(0) = f(x)+f(-x) ⇒ f(-x) =

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Question ID VK-030446