Prove-that-0-2arctan-t-x-e-2-t-1-dt-In-x-xIn-x-x-1-2-In-2-x-Michael-faraday-

Question Number 201011 by Calculusboy last updated on 28/Nov/23

P r o v e t h a t

\int_{0}^{\infty} \frac{2 a r c t a n (\frac{t}{x})}{e^{2 π t} - 1} d t = I n Γ (x) - x I n (x) + x - \frac{1}{2} I n (\frac{2 π}{x})

M i c h a e l f a r a d a y