Reduction Formula for Integral of ∫ln^n(x)dx

In this video, we work through the derivation of the reduction formula for the integral of ln^n(x) or [ln(x)]^n.

Like with lower powers of ln(x), such as ln^2(x), we adopt the same approach of integration by parts, letting u = ln^(x) and dv = dx.

We then use the our derived formula to find the indefinite integral of ln^3(x).

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