Evaluate the definite integral $\begin{align*}\int\limits_2^3\frac{xdx}{x^2+1} \end{align*}$

Question

$\begin{array}{1 1}\large \frac{\log 2}{2} \\ \large \frac{\log 2}{4} \\ \large \frac{\log 2}{3} \\\large \frac{3\log 2}{2} \end{array} $