I would like to know if there is any physical/mathematical significance to the following expression:
$m\left(\left.\gamma v^{2}\right|_{t_{0}}^{t_{1}}-c^{2}\int_{v_{0}}^{v_{1}}{\frac{2v/c^{2}}{2\sqrt{1-v^{2}/c^{2}}}\:dv}\right)$
For reference, starting at 21 seconds
Does this equation have any real meaning and if so, what does it mean? I do notice an integral.