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JEE Advanced Mathematics question

MathematicsDefinite IntegrationJEE Advanced

Let be a periodic function of the period 1 and . Let for all . Then is equal to

Answer: (B)

Solution

By the Fundamental Theorem of Calculus, . As has period 1, $f(x + n) = f(x + n - 1) = ·s =

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Question ID VK-110386