这个要注意积分次序 曲线y=x^3与直线y=x的交点(0,0)(1,1)∫[0,1]e^x^2∫[x^3,x] dxdy=∫[0,1]e^x^2*(x-x^3)dx=1/2e^x^2[0,1]-1/2∫[0,1]e^x^2*x^2dx^2=1/2e^x^2[0,1]-1/2e^x^2*x^2[0,1]+∫[0,1]e^x^2dx^2=1/2e^x^2[0,1]-1/2e^x^2*x^2[0,1]+e^x^2[0,1]=e/2=e/2+e-1=e-1