∫xlnxdx
=1/2∫lnxdx²
=1/2(x²lnx-∫x²dlnx)
=1/2(x²lnx-∫xdx)
=1/2(x²lnx-1/2x²)
=(1/2)x²lnx-(1/4)x²
急：急求下列积分：谢谢大家!要详细过程,帮帮忙,谢谢! ∫（x*linx）dx 需要详细的过程,谢谢大家!
∫xlnxdx
=1/2∫lnxdx²
=1/2(x²lnx-∫x²dlnx)
=1/2(x²lnx-∫xdx)
=1/2(x²lnx-1/2x²)
=(1/2)x²lnx-(1/4)x²