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Definite Integration question

2021 · 20 Jul · Shift 1 · Q24

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 20 Jul · Shift 1 · Q24

Definite Integration question

2021 · 20 Jul · Shift 1 · Q24

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_{ - 1}^1 {{{\log }_e}(\sqrt {1 - x} + \sqrt {1 + x} )dx}

is equal to:

A
${1 \over 2}{\log _e}2 + {\pi \over 4} - {3 \over 2}$
B
$2{\log _e}2 + {\pi \over 4} - 1$
C
${\log _e}2 + {\pi \over 2} - 1$
D
$2{\log _e}2 + {\pi \over 2} - {1 \over 2}$

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