If \[f(x)\] is an odd function of \[x,\] then \[\int_{-\frac{\pi }{2}}^{\frac{\pi }{2}}{f(\cos x)\,dx}\] is equal to [MP PET 1998]

\[\int_{0}^{\pi }{f(\cos x)\,dx}\]

\[\int_{0}^{\frac{\pi }{2}}{f(\cos x)\,dx}\]

\[2\int_{0}^{\frac{\pi }{2}}{f(\sin x)\,dx}\]

If \[f(x)\] is an odd function of \[x,\] then \[\int_{-\frac{\pi }{2}}

1.	If \[f(x)\] is an odd function of \[x,\] then \[\int_{-\frac{\pi }{2}}^{\frac{\pi }{2}}{f(\cos x)\,dx}\] is equal to [MP PET 1998]
A.	0
B.	\[\int_{0}^{\frac{\pi }{2}}{f(\cos x)\,dx}\]
C.	\[2\int_{0}^{\frac{\pi }{2}}{f(\sin x)\,dx}\]
D.	\[\int_{0}^{\pi }{f(\cos x)\,dx}\]
Answer» D. \[\int_{0}^{\pi }{f(\cos x)\,dx}\]

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If \[f(x)\] is an odd function of \[x,\] then \[\int_{-\frac{\pi }{2}}^{\frac{\pi }{2}}{f(\cos x)\,dx}\] is equal to [MP PET 1998]

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