首先把函數(shù)分具體方法看分母的階數(shù),分子設(shè)為小一階的多項(xiàng)式,求解系數(shù)得
f(x) = -x/(x^2+1) + (x+1)/(1+x+x^2)
第一項(xiàng)積分為-1/2ln(x^2+1)第二項(xiàng)積分為1/2ln(1+x+x^2)+1/2arctan(x+1/2)
∫dx/[(x^2+1)(1+x+x^2)]
∫dx/[(x^2+1)(1+x+x^2)]
數(shù)學(xué)人氣:613 ℃時(shí)間:2020-04-25 02:12:29
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