Solved: A sine reduction formula Use integration by parts
Chapter 7, Problem 64(choose chapter or problem)
A sine reduction formula Use integration by parts to obtain a reduction formula for positive integers n: L sinn x dx = -sinn - 1 x cos x + 1n - 12 L sinn - 2 x cos2 x dx. Then use an identity to obtain the reduction formula L sinn x dx = - sinn - 1 x cos x n + n - 1 n L sinn - 2 x dx. Use this reduction formula to evaluate 1sin6 x dx.
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