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Definite Integration question

2023 · 29 Jan · Shift 2 · Q36

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 29 Jan · Shift 2 · Q36

Definite Integration question

2023 · 29 Jan · Shift 2 · Q36

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_{1/2}^2 {{{{{\tan }^{ - 1}}x} \over x}dx}

is equal to :

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

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