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JEE Advanced Mathematics question

MathematicsDefinite IntegrationJEE Advanced

If = the greatest integer less than or equal to then is

Answer: (C)

Solution

As goes from to , decreases from to , crossing the integer values at . Ignoring single points,

[2 x] = Missing \end{cases}\begin{cases} 1, & < x < (1 < 2 x < 2) 0, & < x <

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Question ID VK-109529