Question

∫xdx/(x^3-3x+2)求解

∫xdx/(x^3-3x+2)哪位好心人帮我解下

Answer 1

请看图：

Answer 2

∫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

追问

老师啊，那个是X^3

追答

不好意思，看错了