(根号下x^2-1)/(x^2+1)不定积分怎么求?

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(根号下x^2-1)/(x^2+1)不定积分怎么求?
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(根号下x^2-1)/(x^2+1)不定积分怎么求?
(根号下x^2-1)/(x^2+1)不定积分怎么求?

(根号下x^2-1)/(x^2+1)不定积分怎么求?
∫√(x^2-1)/(x^2+1)Dx= ∫√(x^2-1)Darctanx
=√(x^2-1)arctanx- ∫2xarctanx/√(x^2-1)Dx
设x=tant
=√(x^2-1)arctanx- ∫t*2tant/sectDtant
后面就简单了