Mathematics · 2026
JEE Main · 5 April 2026, Shift 2 · Q18
Let (2^1- a +2^1+ a ), f( a ),(3^a +3^- a ) be in A.P. and α be the minimum value of f( a ). Then the value of the integral ∫_log_e (α-1)^log_e (α)…
Let $\displaystyle \left(2^{1-\mathrm{a}}+2^{1+\mathrm{a}}\right), f(\mathrm{a}),\left(3^{\mathrm{a}}+3^{-\mathrm{a}}\right)$ be in A.P. and $\displaystyle \alpha$ be the minimum value of $\displaystyle f(\mathrm{a})$. Then the value of the integral $\displaystyle \int_{\log _{\mathrm{e}}(\alpha-1)}^{\log _{\mathrm{e}}(\alpha)} \frac{\mathrm{d} x}{\left(\mathrm{e}^{2 x}-\mathrm{e}^{-2 x}\right)}$ is :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{1}{4} \log _{\mathrm{e}}\left(\frac{4}{3}\right)$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.