In calculus, arc length is the length of a curve between two points, calculated by integrating a formula that sums infinitesimal segments of the curve. For a smooth function \ (y=f (x)\) over an ...

In normal conversation we describe position in terms of both \emph{time} and \emph{distance}. For instance, imagine driving to visit a friend. If she calls and asks where you are, you might answer ``I ...

The arc length represents the distance along a curve between two points. To calculate this length, integral calculus provides a powerful and accurate method. The basic idea is to divide the curve into ...

\item Given a region, what is its area? \item Given a solid, what is its volume? \end{enumerate} In this section, we address a related question: Given a curve, what ...