(Solution Library) 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 \(n \geqq 2\) ).

\(\int(\ln x)^{n} d x=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x\)

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