x^3/x+1的原函数
问题描述：
x^3/x+1的原函数
答
解
∫x³/(x+1)dx
=∫[(x³+1)-1]/(x+1)dx
=∫[(x+1)(x²-x+1)/(x+1)-1/(x+1)]dx
=∫x²-x+1-1/(x+1)dx
=1/3x³-1/2x²+x-ln/x+1/+C