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Definite Integration question

2016 · Shift 2 · Q27

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2016 · Shift 2 · Q27

Definite Integration question

2016 · Shift 2 · Q27

JEE AdvancedMathematicsDefinite IntegrationMCQ+3 / −1

The value of

\int\limits_{-{\pi \over 2}}^{{\pi \over 2}} {{{{x^2}\cos x} \over {1 + {e^x}}}dx}

is equal to

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

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