积分题一道:∫xln(x-1)/(x^2-1) dx
问题描述:
积分题一道:∫xln(x-1)/(x^2-1) dx
答
integral (x log(x-1))/(x^2-1) dx = 1/4 (2 Li_2((1-x)/2)+log(x-1) (log(x-1)+2 log((x+1)/2)))+constant
该积分不能用初等函数表示