Formula:2119

Digital Library of Mathematical Functions ID 4.26.E3

${\displaystyle{\displaystyle\int\tan x\mathrm{d}x=-\ln\left(\cos x\right),}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\tan\NVar{z}}}$: tangent function
• ${\displaystyle{\displaystyle x}}$: real variable
 

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