During each cycle, the velocity v (in meters per second) of a robotic welding device is given by $\displaystyle {v}={7}{t}-\frac{{2}}{{{25}+{t}^{{2}}}}$, where $\displaystyle {t}$ is time in seconds. Find the expression for the displacement $\displaystyle {s}$ (in meters) as a function of $\displaystyle {t}$ if $\displaystyle {s}={0}$ when $\displaystyle {t}={0}$.
$\displaystyle {s}{\left({t}\right)}=$ Preview Question 6