Study guide and 2 practice problems on:

Arc length of a parameterization

If $\bfx(t)$ is a parameterized curve, and $\bfv = \frac{d \bfx}{dt}$ is its velocity, the length of the curve traced out between $t=a$ and $t=b$ is given by $$s = \int_a^b | \bfv(t)| dt.$$