1. 7. Section 8.1 Length of a Curve
Table of Contents
7. Section 8.1 Length of a Curve

2. Length of a Curve Essential Question
How do you find the length of a curve using integrals and derivatives?

3. Length of a curve

4. Length of a curve

5. Length of a curve

6. Formula Derivation

7. Formula derivation continued….

8. Length of a Curve

9. Example
Find the length of y = sin x from x = 0 to x =

10. Example
Find the length of from x = 0 to 1

11. Example – Vertical Tangent
Find the length of from (-8,-2) to (8,2)
Can’t take derivative because of vertical tangent at y = 0 so change to function of y

12. Example – Cusp or Corner
Find the length of from x = -4 to x = 4
Can’t take derivative because of corner so split into two parts

13. Example
Show using calculus that the circumference of a circle with radius 5 is 10

14. Assignment
Pg. 485 #1-9 odd, 15, 17, 23