Formula:2437

Digital Library of Mathematical Functions ID 4.40.E6

${\displaystyle{\displaystyle\int\coth x\mathrm{d}x=\ln\left(\sinh x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle 0<x<\infty}}$

Symbols List

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

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