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Reduction Formula for Logarithmic Powers
Define:
$$I_n=\int(\ln x)^n\,dx$$
Then:
$$I_n=x(\ln x)^n-nI_{n-1}$$
Usage
- Used to reduce integrals involving powers of logarithms.
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Reduction Formula for Logarithmic Powers
Define:
$$I_n=\int(\ln x)^n\,dx$$
Then:
$$I_n=x(\ln x)^n-nI_{n-1}$$
Usage
- Used to reduce integrals involving powers of logarithms.
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