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CUET
-- Mathematics - Section A
Definite Integration
$\int\limits_{-1}^1 \sin ^{11} x d x=$
$\frac{10 . 8 . 6 . 4 . 2}{11 . 9 . 7 . 5 . 3}$
$\frac{10 . 8 . 6 . 4 . 2}{11 . 9 . 7 . 5 . 3} \frac{\pi}{2}$
1
0
sin11x is odd function of x.
So, integral is zero.
Hence (4) is the correct answer.