Evaluate ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}ln(x)x^{2}dx$

Select one:

$a.\frac{1}{3}ln(x)x^3-\frac{1}{9}{x}^3+C$

$b.\frac{1}{3}ln(x)x^3+\frac{1}{9}{x}^3+C$

$c.\frac{1}{3}ln(x)x^3+\frac{1}{3}{x}^3+C$

$d.\frac{1}{3}ln(x)x^3-\frac{1}{3}{x}^3+C$