Integrate the function $x(\log x)^2$

Question

$\begin{array}{1 1} \large \frac{x^2(\log x)^2}{2}-\frac{x^2(\log x)}{2}+\frac{x^2}{4}+c \\ \large \frac{x^2(\log x)^2}{2}+\frac{x^2(\log x)}{2}+\frac{x^2}{4}+c \\\large \frac{x^2(\log x)^2}{2}-\frac{x^2(\log x)}{2}-\frac{x^2}{4}+c \\ \large \frac{x(\log x)^2}{2}-\frac{x(\log x)}{2}+\frac{x^2}{4}+c \end{array}$