If 24 \int_{0}^{\frac{\pi}{4}} ( \sin {|4 x-\frac{\pi}{12} |}+[2 \sin x]) \dx=2 \pi+\alpha, where [\cdot] denotes the greatest integer function, then \alpha is equal to ______ . [29 Jan 2025 Shift 2]

JEE Main 29 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 21 of 75

Marks: +1, -0

If 24‌

‌

∫

(sin|4x−‌

|+[2sin‌x])‌dx=2π+α, where [⋅] denotes the greatest integer function, then α is equal to ______ .

[29 Jan 2025 Shift 2]

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