Integrate the function $x\; \log2x $

Question

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