∫ x^2/(x^3 - 5)^(2/3) dx= (1/3)∫ 1/(x^3 - 5)^(2/3) d(x^3)= (1/3)∫ (x^3 - 5)^(- 2/3) d(x^3 - 5)= (1/3) * (x^3 - 5)^(1 - 2/3)/(1 - 2/3) + C= (x^3 - 5)^(1/3) + C= 三次根号下(x^3 - 5) + C∫(x^2)/3√(x^3-5)^2 dx，后面少了个dx – –而且，这位大大，你题目貌似抄错了没抄错x的3次方根 等同于 x的3分之1次方3√(x^3 - 5)^2 = (x^3 - 5)^(2/3)原来如此 （￣▽￣）咱太笨了学会就没事了哈哈