Mathematics · 2025
JEE Main · 2 April 2025, Shift 2 · Q18
4 ∫_0^1(1/(√(3+x^2)+√(1+x^2))) d x-3 log_e (√ 3 ) is equal to:
$\displaystyle 4 \int_0^1\left(\frac{1}{\sqrt{3+x^2}+\sqrt{1+x^2}}\right) \mathrm{d} x-3 \log _{\mathrm{e}}(\sqrt{3})$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle 2-\sqrt{2}-\log _{\mathrm{e}}(1+\sqrt{2})$
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JEE Main 2025 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.