Exploring Accumulations of Change Practice Test

A runner’s speed is $v(t)=2+\cos t$ m/s for $0\le t\le2\pi$; what distance is traveled?

For $0\le t\le6$, a machine’s production rate is $p(t)=\begin{cases}2t,&0\le t\le3\\12-2t,&3\le t\le6\end{cases}$; how many items are produced?