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Definite Integration question

2005 · Shift 0 · Q71

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PYQ Library
JEE Main
Mathematics
Definite Integration
2005 · Shift 0 · Q71

Definite Integration question

2005 · Shift 0 · Q71

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_{ - \pi }^\pi {{{{{\cos }^2}} \over {1 + {a^x}}}dx,\,\,a \gt 0,}

is

A
$a\,\pi$
B
${\pi \over 2}$
C
${\pi \over a}$
D
${2\pi }$

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