∫x^5dx/(x^4-2x^3+2x-1)
=∫[x+2+(4x^3-2x^2-3x+2)/(x^4-2x^3+2x-1)]dx
= x^2/2+2x+∫(4x^3-2x^2-3x+2)/[(x+1)(x-1)^3]dx
= x^2/2+2x+(1/6)∫[1/(x+1)+23/(x-1)+14/(x-1)^2+2/(x-1)^3]dx
= x^2/2+2x+(1/6)ln|x+1| +(23/6)ln|x-1|-(7/3)/(x-1)-(1/6)/(x-1)^2+C
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