Question

计算定积分∫xlnxdx,（上限是e,下限是1）.请单的写一下计算步骤,

Answer 1

用分步积分法
∫xlnxdx＝1/2∫lnxdx^2=1/2【x^2*lnx|e,1-∫x^2dlnx]
=1/2{x^2*lnx|e,1-∫xdx}