4.9 Arc Length



Another illustration of the Riemann Sum modeling method is given, this time to compute the length of a curve in the plane. An integral formula is developed to compute the arc length. It is pointed out that the formula often leads to integrals that must be approximated by numerical methods.

By the end of your studying, you should know:

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Find the length of the parabola y = x2 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


Numerical Integration


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See Exercises for 4.9 Arc Length (PDF).

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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