Mathematics · 2026
JEE Main · 22 January 2026, Shift 1 · Q20
The value of ∫_-(π)/2^((π)/2)(1/([x]+4)) d x, where [·] denotes the greatest integer function, is
The value of $\displaystyle \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{1}{[x]+4}\right) d x$, where $\displaystyle [\cdot]$ denotes the greatest integer function, is
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle \frac{7}{60}(3 \pi-1)$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.