JEE Main 2025 · 29 January · evening · Numerical answer · +4 / −1

If 24 ∫₀^(π/4) [sin | 4x - π/12 | + [2 sin x] ] dx = 2π + α , where [·] denotes the greatest integer function, then α is equal to ________.

Answer and solution

Answer 12

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Asked about 230 times in JEE Main since 2020. This question is from 2025.