1/(x-1) 的定积分(从e+1到2)怎么求?
问题描述:
1/(x-1) 的定积分(从e+1到2)怎么求?
答
积分:(2,e+1)1/(x-1)dx
=积分:(1,e)1/(x-1)d(x-1)
=ln|x-1||(1,e)
=ln|e-1|-ln|1|
=ln(e-1)