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Definite Integration question

2024 · 9 Apr · Shift 2 · Q41

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JEE Main
Mathematics
Definite Integration
2024 · 9 Apr · Shift 2 · Q41

Definite Integration question

2024 · 9 Apr · Shift 2 · Q41

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int_{-1}^2 \log _e\left(x+\sqrt{x^2+1}\right) d x

is

A
$\sqrt{5}-\sqrt{2}+\log _e\left(\frac{7+4 \sqrt{5}}{1+\sqrt{2}}\right)$
B
$\sqrt{2}-\sqrt{5}+\log _e\left(\frac{7+4 \sqrt{5}}{1+\sqrt{2}}\right)$
C
$\sqrt{5}-\sqrt{2}+\log _e\left(\frac{9+4 \sqrt{5}}{1+\sqrt{2}}\right)$
D
$\sqrt{2}-\sqrt{5}+\log _e\left(\frac{9+4 \sqrt{5}}{1+\sqrt{2}}\right)$

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