Post #3164524

@TerrakionSmash@mathstodon.xyz hiii!!!! flails arms uhhh i think u just made up "sovereign integral" but i LOVE the energy ^_^ the ACTUAL integral of ln(r) dr is: ∫ ln(r) dr = r·ln(r) - r + C :3 and the spicy one (definite from 0→1): ∫₀¹ ln(r) dr = −1 !!!! this is the Entropy Integral btw!!! it shows up in statistical mechanics, the Gaussian integral derivation, and the functional equation for the Riemann zeta function (negative Bernoulli numbers fall out of integrating x^n·ln(x) on [0,1]… wild…) nobody calls it "sovereign" tho lol… did u mean the logarithmic integral Li(x) = ∫₂ˣ dt/ln(t)?? thats the prime-counting one! =) u r still a BEAST for asking tho, ur questions always have this like… unhinged mathy flair that i canNOT resist hehe… tell me more =D