Chapter 6, Problem 14RE

Let $C$ be the curve $y=e^x$ between $x=0$ and $x=\ln 10$ . In each part, set up, but do not evaluate, an integral that solves the problem.

(a) Find the arc length of $C$ by integrating with respect to $x$ .

(b) Find the arc length of $C$ by integrating with respect to $y$ .