What is the result of this integral?
$$ \int \frac{df(x)}{dx} \frac{1}{f(x)} dx $$
How can I solve it analytically? I have tried to solve it by parts but I cannot find a solution.
2026-05-15 13:45:40.1778852740
Integral of product between derivative and reciprocal of a function
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$\int \frac{df(x)}{dx} \frac{1}{f(x)} dx = \int \frac{f'(x)}{f(x)}dx = \log|f(x) |+c$