$-\frac{1}{2}{\mathrm{arcsinh}\left(x\right)}^2\+\mathrm{arcsinh}\left(x\right)\ln \left(1-x-\sqrt{x^2\+1}\right)\+\mathrm{polylog}\left(2\,x\+\sqrt{x^2\+1}\right)\+\mathrm{arcsinh}\left(x\right)\ln \left(1\+x\+\sqrt{x^2\+1}\right)\+\mathrm{polylog}\left(2\,-x-\sqrt{x^2\+1}\right)$

$-\frac{\mathrm{arcsinh}\left(x\right)}{\sqrt{x^2\+1}}\+\frac{\ln \left(1-x-\sqrt{x^2\+1}\right)}{\sqrt{x^2\+1}}\+\frac{\mathrm{arcsinh}\left(x\right)\left(-1-\frac{x}{\sqrt{x^2\+1}}\right)}{1-x-\sqrt{x^2\+1}}-\frac{\left(1\+\frac{x}{\sqrt{x^2\+1}}\right)\ln \left(1-x-\sqrt{x^2\+1}\right)}{x\+\sqrt{x^2\+1}}\+\frac{\ln \left(1\+x\+\sqrt{x^2\+1}\right)}{\sqrt{x^2\+1}}\+\frac{\mathrm{arcsinh}\left(x\right)\left(1\+\frac{x}{\sqrt{x^2\+1}}\right)}{1\+x\+\sqrt{x^2\+1}}-\frac{\left(-1-\frac{x}{\sqrt{x^2\+1}}\right)\ln \left(1\+x\+\sqrt{x^2\+1}\right)}{-x-\sqrt{x^2\+1}}$

$\frac{\mathrm{arcsinh}\left(x\right)}{x}$

${\mathrm{arccoth}\left(x\right)}^3\left(x-1\right)\+2{\mathrm{arccoth}\left(x\right)}^3-3{\mathrm{arccoth}\left(x\right)}^2\ln \left(1-\frac{1}{\sqrt{\frac{x-1}{x\+1}}}\right)-6\mathrm{arccoth}\left(x\right)\mathrm{polylog}\left(2\,\frac{1}{\sqrt{\frac{x-1}{x\+1}}}\right)\+6\mathrm{polylog}\left(3\,\frac{1}{\sqrt{\frac{x-1}{x\+1}}}\right)-3{\mathrm{arccoth}\left(x\right)}^2\ln \left(1\+\frac{1}{\sqrt{\frac{x-1}{x\+1}}}\right)-6\mathrm{arccoth}\left(x\right)\mathrm{polylog}\left(2\,-\frac{1}{\sqrt{\frac{x-1}{x\+1}}}\right)\+6\mathrm{polylog}\left(3\,-\frac{1}{\sqrt{\frac{x-1}{x\+1}}}\right)$

${\mathrm{arccoth}\left(x\right)}^3$

$\ln \left(x\right){\mathrm{arctanh}\left(\tanh \left(bx\+a\right)\right)}^2\+b^2{x}^2\ln \left(x\right)-\frac{3}{2}{b}^2{x}^2-2b\ln \left(x\right)\mathrm{arctanh}\left(\tanh \left(bx\+a\right)\right)x\+2b\mathrm{arctanh}\left(\tanh \left(bx\+a\right)\right)x$

$\frac{{\mathrm{arctanh}\left(\tanh \left(bx\+a\right)\right)}^2}{x}$

$-\frac{{\ln \left({\left(x\+a\right)}^n\right)}^2}{x\+b}\+\frac{2n\ln \left({\left(x\+a\right)}^n\right)\ln \left(x\+b\right)}{a-b}-\frac{2n\ln \left({\left(x\+a\right)}^n\right)\ln \left(x\+a\right)}{a-b}-\frac{2n^2\ln \left(x\+b\right)\ln \left(\frac{x\+a}{a-b}\right)}{a-b}-\frac{2n^2\mathrm{dilog}\left(\frac{x\+a}{a-b}\right)}{a-b}\+\frac{n^2{\ln \left(x\+a\right)}^2}{a-b}$

$\frac{{\ln \left({\left(x\+a\right)}^n\right)}^2}{{\left(x\+b\right)}^2}$

$-3\left(\sum _{\mathrm{\_R}\=\mathrm{RootOf}\left(23328{\mathrm{\_Z}}^6\+216{\mathrm{\_Z}}^3\+1\right)}\left(\mathrm{\_R}\ln \left(6\right)\+\mathrm{\_R}\ln \left(-216{\mathrm{\_R}}^4-\mathrm{\_R}\right)\right)\right)-3\left(\sum _{\mathrm{\_R}\=\mathrm{RootOf}\left(23328{\mathrm{\_Z}}^6\+216{\mathrm{\_Z}}^3\+1\right)}\left(\mathrm{\_R}\ln \left(6\right)\+\mathrm{\_R}\ln \left(216{\mathrm{\_R}}^4\+\mathrm{\_R}\right)\right)\right)$

$\frac{1}{6}{2}^{2\/3}\mathrm{\π}\left(3\+\sqrt{3}\right)$