Let f(x) = x - [x] for every real number x, where [x] is integral part of x. then _ -1 ^ 1 f(x) ,dx is

MHT CET 2026 Mathematics question

Let for every real number , where is integral part of . then is

Answer: (A)

Split the interval. For , , so and . For , , so and . At the endpoint

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Question ID VK-100046