로그 탄젠트 적분(log tangent integral)

Gradshteyn and Ryzhik

http://www.math.tulane.edu/~vhm/Table.html

 

\(\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{\pi}{2}\ln{\frac{\Gamma(\frac{3}{4})}{\Gamma(\frac{1}{4})}\sqrt{2\pi}\)

 

\(\int_{\pi/4}^{\pi/2} \ln \ln \tan x\, dx=\frac{d}{ds}\Gamma(s)L(s)|_{s=1}\)

 

The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals. Victor H. Moll

 

THE INTEGRALS IN GRADSHTEYN AND RHYZIK. PART 1: A FAMILY OF LOGARITHMIC INTEGRALS

VICTOR H. MOLL

 

란덴변환(Landen's transformation)

 

 

 

 

 

 

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