A) \[\frac{a}{b}\]
B) \[ac\]
C) \[\frac{b}{a}\]
D) None of these
Correct Answer: A
Solution :
\[{{I}_{m,\,n}}=\int{{{\sin }^{m-1}}x\,\sin x\,{{\cos }^{n}}x\,dx}\] \[=\frac{-{{\sin }^{m-1}}x{{\cos }^{n+1}}x}{n+1}+\frac{m-1}{n+1}\int{{{\sin }^{m-2}}x{{\cos }^{n+2}}xdx}\] \[\Rightarrow \,\,c=\frac{-1}{n+1},\,a=m-1,\,b=n+1\] \[\lambda =\frac{m-1}{n+1}=\frac{a}{b}\]You need to login to perform this action.
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