Answer
$x=4.4622$
Refer to the graph below.
Work Step by Step
Use a graphing calculator to graph $y=(\arctan{x})^3-x=2$ and $y=0$.
Note that the line $y=0$ is just the x-axis.
The x-coordinate of the point of intersection, which is $(4.4622, 0)$. is the solution to the equation.
