解方程x^3=x^2,知道x=0或x=1.
去f（x）=x^3-x^2对f(x)积分得：∫（x^3-x^2）dx =1/4x^4-1/3x^3所以f(x)从0到1积分,得:(1/4-1/3)-0 = -1/12
因此本题答案为1/12.