1/(x+sqrt(x^2-x+1))=[sqrt(x^2-x+1)-x]\(1-x)sqrt(x^2-x+1)\(1-x)dx=-sqrt(t^2-t+1)\tdtt=1-x-sqrt(t^2-t+1)\t=1\2sqrt(t^2-t+1)-(t-1\2)\sqrt(t^2-t+1)-1\tsqrt(t^2-t+1)u=1\t-1\tsqrt(t^2-t+1)dt=sgnu\sqrt(u...