Mathematics · 2026
JEE Main · 28 January 2026, Shift 2 · Q17
Let [·] denote the greatest integer function. Then ∫_-(π)/2^((π)/2)((12(3+[x]))/(3+[ sin x]+[ cos x])) d x is equal to:
Let $\displaystyle [\cdot]$ denote the greatest integer function. Then $\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{12(3+[x])}{3+[\sin x]+[\cos x]}\right) \mathrm{d} x$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 11 \pi+2$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.