The formula in which a certain integral involving some parameters in connected with some integrals of lower order is called a reduction formula. In most of the cases the reduction formula is obtained by the process of integrating by parts. Of course, in some cases the methods of differentiation are adopted.Now answer the question:If `I_(m-2,n+2)=intsin^(m-2)xcos^(n+2)xdx` and `I_(m,n)=-(sin^(m-1)xcos^(n+1)x)/(n+1)+f(m,n)I_((m-2),(n+2))`, then `f(2,3)` is equal to (A) `1/2` (B) `1/3` (C) `1/4` (D) `1/5`
The formula in which a certain integral involving some parameters in
The formula in which a certain integral involving some parameters in connected with some integrals of lower order is called a reduction formula. In most of the cases the reduction formula is obtained by the process of integrating by parts. Of course, in some cases the methods of differentiation are adopted.Now answer the question:If `I_(m-2,n+2)=intsin^(m-2)xcos^(n+2)xdx` and `I_(m,n)=-(sin^(m-1)xcos^(n+1)x)/(n+1)+f(m,n)I_((m-2),(n+2))`, then `f(2,3)` is equal to (A) `1/2` (B) `1/3` (C) `1/4` (D) `1/5`
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