4.9 Arc Length

By the end of your studying, you should know:
Onscreen applet instructions:
Use the pulldown menu to change the value of n, the number of line segments.
ExamplesFind the length of the parabola y = x^{2} from x = 0 to x = 1.Find the length of the curve y = sin(x) from x = 0 to x = π.
Find the circumference of the hypocycloid
AppletsNumerical IntegrationVideosSee short videos of worked problems for this section.
QuizExercisesSee Exercises for 4.9 Arc Length (PDF).Work online to solve the exercises for this section, or for any other section of the textbook. 
Resources on the WebInformation on NewtonBiographical data from St. Andrew's University's Web site Excerpt from W.W. Rouse Ball's "A Short Account of the History of Mathematics"
Information on Leibniz
Calculus Applications
Arc Length

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4.8 Volumes of Solids of Revolution  Table of Contents  4.10 Inverse Trigonometric Functions 
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Copyright © 2005 Donald L. Kreider, C. Dwight Lahr, Susan J. Diesel