求不定积分∫x(x-1)2dx

问题描述:

求不定积分∫x(x-1)2dx


∫x(x-1)²dx
=∫x(x²-2x+1)dx
=∫x³-2x²+xdx
=1/4x^4-2/3x³+1/2x²+C