If ∫₀¹ 1/(√(3 + x) + √(1 + x)) dx = a + b√2 + c√3, where a, b, c… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 27 January, Shift 1Integration Techniques (Substitution, Parts, Partial Fractions)

If $\int_{0}^{1} \frac{1}{\sqrt{3 + x} + \sqrt{1 + x}} \, dx = a + b\sqrt{2} + c\sqrt{3}$ , where $a$ , $b$ , $c$ are rational numbers, then $2a + 3b - 4c$ is equal to:

A
$4$
B
$10$
C
$7$
D
$8$

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