[Step-by-Step] Derive the reduction formula given. Throughout, n denotes a positive integer with an appropriate side condition (such as n ≥qq 1 or n ≥qq


Question: Derive the reduction formula given. Throughout, n denotes a positive integer with an appropriate side condition (such as \(n \geqq 1\) or \(n \geqq 2\) ).

\(\int \cos ^{n} x d x=\frac{\cos ^{n-1} x \sin x}{n}+\frac{n-1}{n} \int \cos ^{n-2} x d x\)

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