A particle moves along the x-axis with a velocity given as a function of time by \(v(t) = v_0 \cos(\omega t)\), where \(v_0\) and \(\omega\) are positive constants. Which of the following expressions represents the total distance traveled by the particle during one full period of oscillation from \(t = 0\) to \(t = \dfrac{2\pi}{\omega}\)?