Integral of a Logarithm with Arbitrary Base
For $$a>0$$ and $$a\neq1$$:
$$\int\log_a x\,dx=\frac{x\ln x-x}{\ln a}+C$$
Usage
- Used when logarithms have a base other than $$e$$.
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CAT Formulas
Indefinite Integration
Integral of a Logarithm with Arbitrary Base
Integral of a Logarithm with Arbitrary Base
For $$a>0$$ and $$a\neq1$$:
$$\int\log_a x\,dx=\frac{x\ln x-x}{\ln a}+C$$
Usage
- Used when logarithms have a base other than $$e$$.
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