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Definite Integration question

2025 · 2 Apr · Shift 2 · Q43

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PYQ Library
JEE Main
Mathematics
Definite Integration
2025 · 2 Apr · Shift 2 · Q43

Definite Integration question

2025 · 2 Apr · Shift 2 · Q43

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

4 \int_0^1\left(\frac{1}{\sqrt{3+x^2}+\sqrt{1+x^2}}\right) d x-3 \log _e(\sqrt{3})

is equal to :

A
$2-\sqrt{2}-\log _{\mathrm{e}}(1+\sqrt{2})$
B
$2+\sqrt{2}+\log _{\mathrm{e}}(1+\sqrt{2})$
C
$2+\sqrt{2}-\log _{\mathrm{e}}(1+\sqrt{2})$
D
$2-\sqrt{2}+\log _e(1+\sqrt{2})$

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