求不定积分∫(2x-1)/(x^2-x+3) dx

问题描述:

求不定积分∫(2x-1)/(x^2-x+3) dx

∫(2x-1)/(x^2-x+3) dx
=∫d(x^2-x+3)/(x^2-x+3)
=ln|x^2-x+3|+C
=ln(x^2-x+3)+C