definite-integral

Question: If $f(x)$ is an odd function of $x,$ then $\int_{-\frac{\pi }{2}}^{\frac{\pi }{2}}{f(\cos x)\,dx}$ is equal to



1) 0
2) $\int_{0}^{\frac{\pi }{2}}{f(\cos x)\,dx}$
3) $2\int_{0}^{\frac{\pi }{2}}{f(\sin x)\,dx}$
4) $\int_{0}^{\pi }{f(\cos x)\,dx}$
Solution: Explanation: No Explanation
Properties of definite integration

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