Integrate the function $\;\int\;(x^2+1)\;log\;x$

Question

$\begin{array}{1 1}\log x (x+\large \frac{x^3}{3})-\large\frac{x^3}{9}-x+c \\ \log x (x-\large \frac{x^3}{3})+\large\frac{x^3}{9}-x+c \\ \log x (x+\large \frac{x^4}{3})-\large\frac{x^4}{9}-x+c \\ \log x (x+\large \frac{x^2}{3})-\large\frac{x^2}{4}-x+c \end{array}$