∫x^2/根号x^3-1dx
=1/3∫(x³-1)^(-1/2)dx³
=1/3∫(x³-1)^(-1/2)d(x³-1)
=1/3×1/(-1/2+1)(x³-1)^(-1/2+1)+c
=2/3·√(x³-1)+c