积分∫ dx /(x²+x)
问题描述:
积分∫ dx /(x²+x)
答
解
∫dx/(x²+x)
=∫dx/x(x+1)dx
=∫[1/x-1/(x+1)]dx
=ln|x|-ln|x+1|+C
=ln|x/(x+1)|+C