Formula:1991

Digital Library of Mathematical Functions ID 4.23.E3

${\displaystyle{\displaystyle\operatorname{Arctan}z=\int_{0}^{z}\frac{\mathrm{d}t}{1+t^{2}},}}$

Constraint(s)

${\displaystyle{\displaystyle z\neq\pm\mathrm{i}}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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