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Definite Integration question

2010 · Shift 1 · Q48

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2010 · Shift 1 · Q48

Definite Integration question

2010 · Shift 1 · Q48

JEE AdvancedMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\int\limits_0^1 {{{{x^4}{{\left( {1 - x} \right)}^4}} \over {1 + {x^2}}}dx}

is (are)

A
${{22} \over 7} - \pi$
B
${2 \over {105}}$
C
$0$
D
${{71} \over {15}} - {{3\pi } \over 2}$

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