詳解：根據多項式的反微分規則

\(\int {{x^n}dx}  = \left\{ {\begin{array}{*{20}{c}}{\frac{1}{{n + 1}}{x^{n + 1}} + C\quad ,n \ne  - 1}\\{\quad \quad \ln x\quad \quad \quad ,n =  - 1}\end{array}} \right.\)

\(\int {\left( {3{x^2} - 2x - 3} \right)dx}  = \frac{3}{3}{x^3} - \frac{2}{2}{x^2} - 3x + C = {x^3} - {x^2} - 3x + C\)

故選(D)