∫x^2lnxdx
=1/3∫lnxd(x^3)
=1/3x^3 lnx-1/3∫x^3 *1/xdx
=1/3x^3 lnx-1/9x^3 (1~e)
=1/3e^3-1/9e^3+1/9
=2/9e^3 +1/9
求X^2×ln x在1到e的定积分
∫x^2lnxdx
=1/3∫lnxd(x^3)
=1/3x^3 lnx-1/3∫x^3 *1/xdx
=1/3x^3 lnx-1/9x^3 (1~e)
=1/3e^3-1/9e^3+1/9
=2/9e^3 +1/9