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Definite Integration question

2011 · Shift 1 · Q34

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2011 · Shift 1 · Q34

Definite Integration question

2011 · Shift 1 · Q34

JEE AdvancedMathematicsDefinite IntegrationMCQ+4 / −1

The value of

\,\int\limits_{\sqrt {\ell n2} }^{\sqrt {\ell n3} } {{{x\sin {x^2}} \over {\sin {x^2} + \sin \left( {\ell n6 - {x^2}} \right)}}\,dx}

is

A
${1 \over 4}\,\ell n{3 \over 2}$
B
$\,{1 \over 2}\,\ell n{3 \over 2}$
C
$\ell n{3 \over 2}$
D
$\,\,{1 \over 6}\,\ell n{3 \over 2}$

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