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Definite Integration question

2012 · Shift 2 · Q27

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2012 · Shift 2 · Q27

Definite Integration question

2012 · Shift 2 · Q27

JEE AdvancedMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_{ - \pi /2}^{\pi /2} {\left( {{x^2} + 1n{{\pi + x} \over {\pi - x}}} \right)\cos xdx}

is

A
$0$
B
${{{\pi ^2}} \over 2} - 4$
C
${{{\pi ^2}} \over 2} + 4$
D
${{{\pi ^2}} \over 2}$

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