Let [·] denote the greatest integer function. Then the value of _0^3 ( e^x + e^ -x [x]! )dx is:

JEE Main 2026 Mathematics question

Let [·] denote the greatest integer function. Then the value of is:

Answer: (B)

[x]! = 1, 1, 2 on [0, 1), [1, 2), [2, 3). So the integral is ∫₀²(eˣ + e⁻ˣ)dx +

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Question ID VK-015203