What is the antiderivative of $\frac{ln (1 - x)}{x}$ $ln(1-x)/x$ ?

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What is the antiderivative of $\frac{ln (1 - x)}{x}$ $ln(1-x)/x$ ?

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Answer 1 · 2016-09-12T19:11:18

[This integral cannot be solved with elementary functions.](http://www.wolframalpha.com/input/?i=integrate%20ln%281-x%29/x) Its integral uses the "polylogarithm function," in this case, $- {Li}_{2} (x) + C$ $-"Li"_2(x)+C$ .

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What is the antiderivative of $\frac{ln (1 - x)}{x}$ $ln(1-x)/x$ ?

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What is the antiderivative of ln(1−x)xln(1-x)/x?

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What is the antiderivative of $\frac{ln (1 - x)}{x}$ $ln(1-x)/x$ ?