Let _ -2 ^ 2 (| x| + [x x])dx = 2(3- 2) + , where [·] is the greatest integer function. Then ( 2 ) equals:

JEE Main 2026 Mathematics question

Let , where [·] is the greatest integer function. Then equals:

Answer: (B)

∫|sinx|dx over [−2,2] = 2−2cos2. [x sinx] is 0 on [0,x₀) and 1 on [x₀,2] where x₀sinx₀=1, so its (even) integral is

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Question ID VK-015278