JEE Main 2022 Mathematics question

− [x/2]))dx, where [t] denotes greatest integer less than or equal to t, is equal to :

Answer: (4)

Solution

[x/2] = 0 on [0, 2), 1 on [2, 4) and 2 on [4, 5). So the integral is $ (π x)dx + (π (x - 1))dx +

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Question ID VK-035332