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Definite Integration question

2006 · Shift 0 · Q61

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PYQ Library
JEE Main
Mathematics
Definite Integration
2006 · Shift 0 · Q61

Definite Integration question

2006 · Shift 0 · Q61

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

\int\limits_0^\pi {xf\left( {\sin x} \right)dx}

is equal to

A
$\pi \int\limits_0^\pi {f\left( {\cos x} \right)dx}$
B
$\,\pi \int\limits_0^\pi {f\left( {sinx} \right)dx}$
C
${\pi \over 2}\int\limits_0^{\pi /2} {f\left( {sinx} \right)dx}$
D
$\pi \int\limits_0^{\pi /2} {f\left( {\cos x} \right)dx}$

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