Let $Abe$ the region bounded $byf(x)=(arctan(x){)}^2,x=1$ and the $x-$axis. Find

the volume $of$ the solid with base A and whose cross$-$sections parallel $to$ the $y-$axis are

rectangles $of$ height $\frac{1}{1+x^2}y=f(x)$ lies never dips below the $x-$axis.