The value of $\mathop \smallint \limits_{ - \pi }^\pi \sin \,\,x\;\,\,f\left( {\cos \,\,x} \right)dx$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \limits_{ - \pi }^\pi \sin \,\,x\;\,\,f\left( {\cos \,\,x} \right)dx

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Correct option: D

None of these

Option D (None of these) is correct because the integrand is an odd function, and the integral of an odd function over a symmetric interval is zero.

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