求不定积分:根号下[(1-x) / (1+x)] dx

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求不定积分:根号下[(1-x)/(1+x)]dx求不定积分:根号下[(1-x)/(1+x)]dx求不定积分:根号下[(1-x)/(1+x)]dx∫√[(1-x)/(1+x)]dx=∫(1-x)/√(1

求不定积分:根号下[(1-x) / (1+x)] dx
求不定积分:根号下[(1-x) / (1+x)] dx

求不定积分:根号下[(1-x) / (1+x)] dx
∫√[(1-x)/(1+x)]dx
=∫(1-x)/√(1-x^2)dx
=∫1/√(1-x^2)-∫x/√(1-x^2)dx
=arcsinx+1/2∫(1-x^2)^(-1/2)d(1-x^2)
=arcsinx+√(1-x^2)+c
c是常数

(1/3)*((1-x)/(1+x))^(3/2)