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Definite Integration question

2023 · 1 Feb · Shift 2 · Q30

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PYQ Library
JEE Main
Mathematics
Definite Integration
2023 · 1 Feb · Shift 2 · Q30

Definite Integration question

2023 · 1 Feb · Shift 2 · Q30

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}dx}

is :

A
${{{\pi ^2}} \over {6\sqrt 3 }}$
B
${{{\pi ^2}} \over 6}$
C
${{{\pi ^2}} \over {3\sqrt 3 }}$
D
${{{\pi ^2}} \over {12\sqrt 3 }}$

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