求不定积分∫2x-2/x^2-2x+3dx

分类: 作业答案 • 2022-01-07 12:48:03

问题描述：

求不定积分∫2x-2/x^2-2x+3dx
求具体过程.

答

∫2x-2/x^2-2x+3dx
=∫(x^2-2x+3)'/(x^2-2x+3) dx
=∫1/(x^2-2x+3) d(x^2-2x+3)
=ln(x^2-2x+3)+c