Formula:2123

Digital Library of Mathematical Functions ID 4.26.E5

${\displaystyle{\displaystyle\int\sec x\mathrm{d}x={\operatorname{gd}^{-1}}\left(x\right),}}$

Constraint(s)

${\displaystyle{\displaystyle-\frac{1}{2}\pi<x<\frac{1}{2}\pi}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle{\operatorname{gd}^{-1}}\left(\NVar{x}\right)}}$: inverse Gudermannian function
• ${\displaystyle{\displaystyle\sec\NVar{z}}}$: secant function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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