A) \[2\int_{0}^{a}{\sin x\,f(\cos x)\,dx}\]
B) 0
C) 1
D) None of these
Correct Answer: B
Solution :
\[I=\int_{-a}^{a}{\sin xf(\cos x)\,dx}\] \[f(x)=\sin x\,f(\cos x)\Rightarrow f(-x)=-\sin x\,f(\cos x)\] \[\because \,\,\,\,f(x)\]is an odd function \[\therefore \,\,\,I=\int_{{}}^{{}}{f(x)dx=0}\].You need to login to perform this action.
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