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Definite Integration question

2024 · 27 Jan · Shift 1 · Q31

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JEE Main
Mathematics
Definite Integration
2024 · 27 Jan · Shift 1 · Q31

Definite Integration question

2024 · 27 Jan · Shift 1 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

\int\limits_0^1 \frac{1}{\sqrt{3+x}+\sqrt{1+x}} \mathrm{~d} x=\mathrm{a}+\mathrm{b} \sqrt{2}+\mathrm{c} \sqrt{3}

, where

\mathrm{a}, \mathrm{b}, \mathrm{c}

are rational numbers, then

2 \mathrm{a}+3 \mathrm{~b}-4 \mathrm{c}

is equal to :

A
10
B
7
C
4
D
8

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