[DTube] 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 lnⁿ(x) or [ln(x)]ⁿ.

Like with lower powers of ln(x), such as ln²(x), we adopt the same approach of integration by parts, letting u = lnⁿ(x) and dv = dx.

We then use the our derived formula to find the indefinite integral of ln³(x).

Integration: Reduction Formulas

1. Reduction Formula for Integral of ∫sinⁿ(x)dx
2. Reduction Formula for Integral of ∫cosⁿ(x)dx
3. Reduction Formula for Integral of ∫tanⁿ(x)dx
4. Reduction Formula for Integral of ∫lnⁿ(x)dx

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