不定积分x^3 * e^x^2的原函数是什么?

1个回答

∫x^3*e^x^2dx
=(1/2)∫x^2*e^x^2d(x^2)
=(1/2)∫t*e^tdt
=(1/2)[te^t-e^t]
=(1/2)(e^x^2)x^2