求∫(4x-2)/[x^(3)-x^(2)-x]dx

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求∫(4x-2)/[x^(3)-x^(2)-x]dx

求∫(4x-2)/[x^(3)-x^(2)-x]dx
求∫(4x-2)/[x^(3)-x^(2)-x]dx

求∫(4x-2)/[x^(3)-x^(2)-x]dx
dasyou的结果有一点点错误,正确的结果该是:
2lnx - (1-5^0.5)ln(-2x+1+5^0.5) - (1+5^0.5)ln(2x-1+5^0.5)

(4x-2)/[x^(3)-x^(2)-x]
=2/x - 2(1-5^0.5)/(2x-1-5^0.5) - 2(1+5^0.5)/(2x-1+5^0.5)
所以分别积分求和:
∫(4x-2)/[x^(3)-x^(2)-x]
=2lnx - (1-5^0.5)ln(2x-1-5^0.5) - (1+5^0.5)ln(2x-1+5^0.5)