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Definite Integration question

2018 · 15 Apr · Shift 1 · Q41

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PYQ Library
JEE Main
Mathematics
Definite Integration
2018 · 15 Apr · Shift 1 · Q41

Definite Integration question

2018 · 15 Apr · Shift 1 · Q41

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {{{\sin }^4}} x\left( {1 + \log \left( {{{2 + \sin x} \over {2 - \sin x}}} \right)} \right)dx

is :

A
0
B
${3 \over 4}$
C
${3 \over 8}\pi$
D
${3 \over 16}\pi$

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