A particle moves along the $x$-axis from $x=0$ to $x=1$ under the influence of the force $F=(1+x^2)^{-1}$.Find the work done by this force.

Question

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