Calculus/Arc length/Solutions

From Wikibooks, open books for an open world
Jump to: navigation, search
1. Find the length of the curve from to .

Let

Then

2. Find the length of the curve from to .
3. Find the circumference of the circle given by the parametric equations , , with running from to .
4. Find the length of one arch of the cycloid given by the parametric equations , , with running from to .

Using the trigonometric identity

, we have