_ - 1 ^1 ^ 11 x ,dx is equal to - Vidyadip

MCQ

$\int_{ - 1}^1 {{{\sin }^{11}}x\,dx} $ is equal to

A
$\frac{{10}}{{11}}.\frac{8}{9}.\frac{6}{7}.\frac{4}{5}.\frac{2}{3}$
B
$\frac{{10}}{{11}}.\frac{8}{9}.\frac{6}{7}.\frac{4}{5}.\frac{2}{3}.\frac{\pi }{2}$
C
$1$
✓
$0$

✓

Answer

Correct option: D.

$0$

d
(d) Since $f(x) = {\sin ^{11}}x$ is an odd function,

therefore $\int_{ - 1}^1 {{{\sin }^{11}}x\,\,dx} = 0$.

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