∫(x^3)[e^(x^2)]dx=∫(1/2)(x^2)[e^(x^2)]2xdx=(1/2)∫(x^2)[e^(x^2)]d(x^2)=(1/2)∫t(e^t)dt{令t=x^2}=(1/2)[t(e^t)-∫(e^t)dt]=(1/2)[t(e^t)-(e^t)]+C=(1/2)(e^t)(t-1)+C=(1/2)[e^(x^2)][(x^2)-1]+C高数都忘得差不多啦,应该没错吧