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Definite Integration question

2021 · 26 Aug · Shift 2 · Q36

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 26 Aug · Shift 2 · Q36

Definite Integration question

2021 · 26 Aug · Shift 2 · Q36

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\left( {{{1 + {{\sin }^2}x} \over {1 + {\pi ^{\sin x}}}}} \right)} \,dx

is

A
${\pi \over 2}$
B
${{5\pi } \over 4}$
C
${{3\pi } \over 4}$
D
${{3\pi } \over 2}$

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