Formula:2151

Digital Library of Mathematical Functions ID 4.26.E19

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

Constraint(s)

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

Symbols List

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

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