Evaluate $4$x$$x$2+2$xdx$.$

Select the correct answer below:

$43($x$2+$x$)3/2(2$x$+2)$x$2+2$x$+2$ln$$x$+$x$2+2$x$+$C

$43($x$2+2)3/2(2$x$+2)$x$2+2+2$ln$$x$+1+$x$2+2+$C

$83($x$2+2$x$)3/22(2$x$+2)$x$2+2$x$+2$ln$$x$+2+2$x$2+2$x$+$C

$43($x$2+2$x$)3/2(2$x$+2)$x$2+2$x$+2$ln$$x$+1+$x$2+2$x$+$C

$43($x$22$x$)3/2+(2$x$+2)$x$2+2$x$2$ln$$x$1$x$2+2$x$+$C