(x^3) ------------ dx (x^2+1)^1/3
问题描述：
(x^3) ------------ dx (x^2+1)^1/3
答
∫x^3dx/(x^2+1)^(1/3)=(1/4)∫d(x^2)^2/(x^2+1)^(1/3)=(1/2)∫x^2d(x^2)/(x^2+1)^(1/3)=(1/2)∫(x^2+1)^(2/3)d(x^2+1) -(1/2)∫d(x^2+1)/(x^2+1)^(1/3)=(3/10)(x^2+1)^(5/3)-(3/4)(x^2+1)^(2/3)+C