Mathematics · 2025
JEE Main · 29 January 2025, Shift 2 · Q25
If 24 ∫_0^((π)/4)( sin |4 x-(π)/12|+[2 sin x]) d x=2 π+α, where [·] denotes the greatest integer function, then α is equal to ____.
If $\displaystyle 24 \int_0^{\frac{\pi}{4}}\left(\sin \left|4 x-\frac{\pi}{12}\right|+[2 \sin x]\right) \mathrm{d} x=2 \pi+\alpha$, where $\displaystyle [\cdot]$ denotes the greatest integer function, then $\displaystyle \alpha$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
12
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.