求不定积分∫x(x-1)2dx
问题描述:
求不定积分∫x(x-1)2dx
答
解
∫x(x-1)²dx
=∫x(x²-2x+1)dx
=∫x³-2x²+xdx
=1/4x^4-2/3x³+1/2x²+C