Who is able to find closed form one of the following integrals (mayby AI Pro):
Integrate[Log[Gamma[1-x]]/x,{x,0,1}], Integrate[Log[Gamma[1+x]]/x,{x,0,1}], Integrate[(2 x ArcCot[x]-Log[1+1/x^2])Log[1-Exp[-2 Pi x]]/(2 Pi (1+x^2)),{x,0,Infinity}]
