The Polygamma Function

Summary

Help me create more free content! =) patreon.com/mathable Merch :v - teespring.com/de/stores/papaflammy ... Integral of {x}^2/x^2 dx from 0 to infinity where {x} denotes the fractional part Shoutout to Benjamin Adrenaline and Drain Gang. This is another video for my mathematical physics class. Hope it is helpful to someone else. The proof at the end is from: ... Mis-4558 Γ^(3) (1) = ϒ^3 - 3 ϒ ζ(2) - 2ζ(3) Mis-4398 Integrate ((1 + x^2)/(1 + x^4)) ln^2 (x)dx from 0 to ∞ # SS-453 How to Find the Sum sum_(n = 0 to ꝏ) (1/(3n + 1) - 1/(3n + 2)) # Sum from n = 0 to infinity of (-1)^n/(a+bn) using this thing truly has a lot of specials values Mis-4008 Integrate x ln x/(1 + x^2 + x^4)dx from 0 to 1 #