Question

求∫X^2eX^2dx求上式不定积分..x平方 乘以e的（x^2)的次方

Answer 1

∫X^2eX^2dx=0.5∫X^2dX^2e

0.5（x^2X^2e-∫xdX^2e）=0.5（x^2X^2e-(x*x^2e-0.5∫e^2xd2x)

=0.5x^2X^2e-0.5x*x^2e+0.25e^2x+c