如题所述
令 x = sint, 则 dx = co'stdt,1-x^2 = (cost)^2
I = ∫dx/(1-x^2)^(3/2) = ∫costdt/[(cost)^2]^(3/2)
= ∫costdt/(cost)^3 = ∫dt/(cost)^2 = ∫(sect)^2dt
= tant + C = x/√(1-x^2) + C