Ответ (Неопределённый)
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| atanh(x) dx = C - atanh(x) + x*atanh(x) + log(1 + x)
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$$\int \operatorname{atanh}{\left (x \right )}\, dx = C + x \operatorname{atanh}{\left (x \right )} + \log{\left (x + 1 \right )} - \operatorname{atanh}{\left (x \right )}$$