∫xdx/(x^3-3x+2)求解∫xdx/(x^3-3x+2)哪位好心人帮我解下

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/18 02:21:30
∫xdx/(x^3-3x+2)求解∫xdx/(x^3-3x+2)哪位好心人帮我解下∫xdx/(x^3-3x+2)求解∫xdx/(x^3-3x+2)哪位好心人帮我解下∫xdx/(x^3-3x+2)求解∫

∫xdx/(x^3-3x+2)求解∫xdx/(x^3-3x+2)哪位好心人帮我解下
∫xdx/(x^3-3x+2)求解
∫xdx/(x^3-3x+2)哪位好心人帮我解下

∫xdx/(x^3-3x+2)求解∫xdx/(x^3-3x+2)哪位好心人帮我解下
请看图:

∫xdx/(x^3-3x+2)
=ʃxdx/[(x-1)(x-2)]
=ʃx[1/(x-2)-1/(x-1)]dx
=ʃ[x/(x-2)-x/(x-1)]dx
=ʃ[2/(x-2)-1/(x-1)]dx
=2ʃd(x-2)/(x-2)-ʃd(x-1)/(x-1)
=2ln|x-2|-ln|x-1|+C