The value of the integral $\mathop \smallint \limits_{ - 1}^1 \,\,{\sin ^{11}}\,\,x\,\,dx$, is

$\frac{{10}}{{11}},\,\,\frac{8}{9},\,\,\frac{6}{7},\,\,\frac{4}{5},\,\,\frac{2}{3}$

$\frac{{10}}{{11}},\,\,\frac{8}{9},\,\,\frac{6}{7},\,\,\frac{4}{5},\,\,\frac{2}{3},\,\,\frac{\pi }{2}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Understanding +4 | -1

The value of the integral

\int \limits_{ - 1}^1 \,\,{\sin ^{11}}\,\,x\,\,dx

, is

View answer and explanation

Correct option: D

\mathrm{0}

Option D (0) is correct because

\sin^{11}(x)

is an odd function, and the integral of an odd function over a symmetric interval is zero.

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