Mathematics · 2025
JEE Main · 4 April 2025, Shift 1 · Q19
The value of ∫_-1^1 ((1+√(|x|-x)) e^x+(√(|x|-x)) e^-x)/(e^x+e^-x) d x is equal to
The value of $\displaystyle \int_{-1}^1 \frac{(1+\sqrt{|x|-x}) e^x+(\sqrt{|x|-x}) e^{-x}}{e^x+e^{-x}} d x$ is equal to
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 1+\frac{2 \sqrt{2}}{3}$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.