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Integral of a Power of Logarithm
For:
$$n\in\mathbb{N}$$
$$\int(\ln x)^n\,dx=x(\ln x)^n-n\int(\ln x)^{n-1}\,dx$$
Usage
- Used as a reduction relation for powers of logarithms.
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Integral of a Power of Logarithm
For:
$$n\in\mathbb{N}$$
$$\int(\ln x)^n\,dx=x(\ln x)^n-n\int(\ln x)^{n-1}\,dx$$
Usage
- Used as a reduction relation for powers of logarithms.
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