Mathematics · 2024
JEE Main · 27 January 2024, Shift 1 · Q11
If ∫_0^1 1/(√(3+x)+√(1+x)) d x= a + b √ 2 + c √ 3, where a, b, c are rational numbers, then 2 a +3 b -4 c is equal to:
If $\displaystyle \int_0^1 \frac{1}{\sqrt{3+x}+\sqrt{1+x}} \mathrm{~d} x=\mathrm{a}+\mathrm{b} \sqrt{2}+\mathrm{c} \sqrt{3}$, where $\displaystyle \mathrm{a}, \mathrm{b}$, c are rational numbers, then $\displaystyle 2 \mathrm{a}+3 \mathrm{~b}-4 \mathrm{c}$ is equal to:
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle 8$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.