Integral of $$\frac{(\ln x)^n}{x}$$

Rarely Tested

Integral of $$\frac{(\ln x)^n}{x}$$

$$\int\frac{(\ln x)^n}{x}\,dx=\frac{(\ln x)^{n+1}}{n+1}+C$$

for:

$$n\neq-1$$

Usage

- Used whenever $$1/x$$ appears with a power of $$\ln x$$.

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