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
答
∫(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