∫(x+1)/x^2-2x+2dx等于什么

问题描述:

∫(x+1)/x^2-2x+2dx等于什么

∫ (x+1)/(x²-2x+2) dx= ∫ [(1/2)(2x-2)+2]/(x²-2x+2) dx= (1/2)∫ (2x-2)/(x²-2x+2) dx + ∫ 2/(x²-2x+2) dx= (1/2)∫ d(x²-2x+2)/(x²-2x+2) + 2∫ 1/[(x-1)²+1] d(x-1)= (1/2...