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Question Number 177913 by infinityaction last updated on 11/Oct/22

if I_{n} = \int {xsin}^{n} x dx and

I_{n} = - \frac{{xsin}^{n - 1} x cosx}{n} + \frac{\sin^{n} x}{n^{2}} + f (n) I_{n - 2}

then f (n) = ?