x的x次方怎么积分？

没有解析表达式,0到1的定积分值是0.7834305107121344070592643865269754694076819901469309582554178227016.
函数表为x^x从0积到t
t 积分值
0.1,0.087095458892487070498336571
0.2,0.1625673084132365092813594718
0.3,0.2334009958914321496667212512
0.4,0.3027344168847550658941374104
0.5,0.3726148624577438082344737344
0.6,0.4446522619322792837663356805
0.7,0.5202886619289740143982045861
0.8,0.6009432582868653763184026692
0.9,0.6881090235164229639750665248
1.,0.7834305107121343356397539517

先将x的x次方写成e的xlnx次方，再对其泰勒展开，
求其泰勒展开表达式的积分。

转换成e的x*lnx次幂 再积分

转换成对数

x
x