积分 (4x^2+2)/(x^2-2x+2)
问题描述：
积分 (4x^2+2)/(x^2-2x+2)
答
∫(4x²+2)/(x²-2x+2) dx=2∫(2x²+1)/(x²-2x+2) dx=2∫(2x²-4+4+4x-3)/(x²-2x+2) dx=2∫[2+(4x-3)/(x²-2x+2)] dx=2∫ 2+4(x-1)/[(x-1)²+1]+1/[(x-1)²+1] dx=4∫ dx+2...