(Solved): Find the length of the curve f(x)=6x3+2x1 from x=4 to x=6. Step 1 of 3 Recall the arc length ...

Find the length of the curve $f(x)=\frac{x^3}{6}+\frac{1}{2x}$ from $x=4$ to $x=6$. Step 1 of 3 Recall the arc length formula and when it is valid. If $f^{?}(x)$ is continuous on $[a,b]$, then the arc length, $L$, of $f(x)$ from $x=a$ to $x=b$ is given by the following formula. $L={?}_a^b\sqrt{1+{\left(f^{?}(x)\right)}^2}dx$ Find $f^{?}(x)$ and determine whether it is continuous within $[4,6]$. $f^{?}(x)=$ Thus $f^{?}(x)$ continuous in the interval $[4,6]$.