Formula:2457

Digital Library of Mathematical Functions ID 4.40.E16

${\displaystyle{\displaystyle\int\operatorname{arccoth}x\mathrm{d}x=x\operatorname{arccoth}x+\tfrac{1}{2}\ln\left(x^{2}-1\right),}}$

Constraint(s)

${\displaystyle{\displaystyle 1<x<\infty}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\operatorname{arccoth}\NVar{z}}}$: inverse hyperbolic cotangent function
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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