Original
The Second Fundamental Theorem of Calculus states that
{{MATH_111}}
where {{MATH_112}} is any antiderivative of {{MATH_113}}. Since {{MATH_114}} is a
velocity function, we can choose {{MATH_115}} to be the position function. Then, {{MATH_116}} measures a {{CMD_117}}change in position{{CMD_118}}, or {{CMD_119}} over the time interval {{MATH_120}}.