Tính (intlimits_1^e {{x^2}ln xdx} )

A. \(\frac{{2{e^3} + 1}}{9}\)

B. \(\frac{{2{e^3} - 1}}{9}\)

C. \(\frac{{{e^3} -2}}{9}\)

D. \(\frac{{{e^3} + 2}}{9}\)