Question

数学分析，求瑕积分帮忙求个积分，结果是1 - 1/log(2)还是3/2 - 1/log(2)呢？或者都不对？麻烦给出详

Answer 1

原式=-1/lnx+1/(x-1) = (1-x+lnx)/lnx(x-1)

f(2) = (1-2+ln2)/ln2 = 1-1/ln2

f(1) = lim(x->1)f(x) = -1/2

结果应该是1-1/ln2 + 1/2 = 3/2-1/ln2

我觉得是