Moderate# Total Distance Parametric

APCALC-YHEOBL

A particle in the $xy$-plane moves according to the following equations:

$$x(t) = 6t\cdot \cos{t} -6\sin{t}\,\text{and}\, y(t)= -6t\cdot \sin{t} -6\cos{t}$$

Find the total distance the particle has traveled from time $t = 0$ to $4$.