(ln|(y+r+(r+1)sqrt(y^3-y+1))/(y+r-(r+1)sqrt(y^3-y+1))|-ln|((y+r+(r-1)sqrt(y^3-y+1))/(y+r-(r-1)sqrt(y^3-y+1)))|)/2,where r=cbrt(1/2+sqrt69/18)+cbrt(1/2-sqrt69/18), y=sqrt2