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Definite Integration question

2002 · Shift 0 · Q82

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PYQ Library
JEE Main
Mathematics
Definite Integration
2002 · Shift 0 · Q82

Definite Integration question

2002 · Shift 0 · Q82

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\int_{ - \pi }^\pi {{{2x\left( {1 + \sin x} \right)} \over {1 + {{\cos }^2}x}}} dx

is

A
${{{\pi ^2}} \over 4}$
B
${{\pi ^2}}$
C
zero
D
${\pi \over 2}$

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