2. A RC L ENGTH

3. S TART WITH SOMETHING EASY The length of the line segment joining points (x 0,y 0 ) and (x 1,y 1 ) is (x 1,y 1 ) (x 0,y 0 )

4. T HE L ENGTH OF A P OLYGONAL P ATH ? Add the lengths of the line segments.

5. T HE LENGTH OF A CURVE ? Approximate by chopping it into polygonal pieces and adding up the lengths of the pieces

6. W HAT ARE WE DOING ? In essence, we are subdividing an arc into infinitely many line segments and calculating the sum of the lengths of these line segments.

7. T HE F ORMULA :

8. E XAMPLE P ROBLEM Compute the arc length of the graph of over [0,1].

9. Y OU TRY Find the arc length of the portion of the curve on the interval [0,1]