If _e^xtf(t)dt = x - x x - x^2 2 , for all x R - 0 , then the value of f ( 6 ) is

JEE Main 2012 Mathematics question

If , for all , then the value of is

Answer: (4)

Differentiating: \cos\cos\sin\sin$ x - x ⇒

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Question ID VK-103438