Reduction Integral

\hspace{-16}$For each Integer $\mathbf{n\geq 2}$.Determine the values of the integrals\\\\ $\mathbf{(1)\;\;I_{n,3}= \int \sin^3x.\sin (nx)dx}$\\\\ $\mathbf{(2)\;\;I_{n,5}= \int \sin^5x.\sin (nx)dx}$\\\\

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