The value of the integral $\mathop \smallint \limits_{ - \pi /4}^{\pi /4} \,\,{\sin ^{ - 4}}\,x\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of the integral

\int \limits_{ - \pi /4}^{\pi /4} \,\,{\sin ^{ - 4}}\,x\,dx

, is

View answer and explanation

Correct option: A

- \frac{8}{3}

The correct answer is A (

- \frac{8}{3}

) because the integral of the given function over the specified limits is calculated to be -8/3.

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