Tính tích phân \[I = \mathop \smallint \limits_1^e 3{x^2}\ln xdx\]

\[\frac{{2{e^3}}}{9}\]

\[\frac{{(2{e^3} + 1)}}{3}\]

\[\frac{{(2{e^3} + 2)}}{9}\]

\[\frac{{(2{e^3} + 3)}}{9}\]