求(x^2+1)/(x^2-2x+1)^2 不定积分

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求(x^2+1)/(x^2-2x+1)^2不定积分求(x^2+1)/(x^2-2x+1)^2不定积分求(x^2+1)/(x^2-2x+1)^2不定积分原式=∫(x^2+1)dx/(x-1)^4=∫[1

求(x^2+1)/(x^2-2x+1)^2 不定积分
求(x^2+1)/(x^2-2x+1)^2 不定积分

求(x^2+1)/(x^2-2x+1)^2 不定积分
原式 =∫(x^2+1)dx/(x-1)^4
=∫[1/(x-1)^2+2/(x-1)^3+2/(x-1)^4]d(x-1)
= -1/(x-1)-1/(x-1)^2-(2/3)/(x-1)^3 + C

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