求不定积分(1+x^2)/(1-x^2)

要详细步骤
2024-12-22 00:04:56
推荐回答(3个)
回答1:

∫(1+x^2)/(1-x^2)dx
= ∫【-1(1-x^2)+2】/(1-x^2)dx
= ∫-1+<2/(1-x^2)>dx
= -x-2 ∫1/(x^2-1)dx
=-x-2*0.5ln<(x-1)/(x+1)>+c

回答2:

(1+x^2)/(1-x^2)
=-1+2/(1-x^2)
∫(1+x^2)/(1-x^2)dx
=-x+ln|(1+x)/(1-x)|+C

回答3:

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