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If I(m,n)= int(sinx)^(m)(cosx)^(n)dx the...

If `I_(m,n)= int(sinx)^(m)(cosx)^(n)`dx then prove that `I_(m,n) = ((sinx)^(m+1)(cosx)^(n-1))/(m+n) +(n-1)/(m+n). I_(m,n-2)`

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