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MTH 252 Integral Calculus Chapter 7 – Applications of the Definite Integral Section 7.4 – Length of a Plane Curve Copyright © 2006 by Ron Wallace, all rights reserved.

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Reminder: Definition of a Definite Integral Simplified Version where …

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Review: Length of a Line Segment yy xx s (a,b) (c,d)

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Approximating the Length of a Curve w/ Line Segments ab If x=g(y) is a function. NOTE: These problems often lead to difficult integrals!

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Length of a Curve: Example Find the length of y = x 2 over [ 0,2 ].

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Length of a Curve: Example Find the length of y = x 2 over [ 0,2 ]. Revisited!

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Length of a Curve: Example Find the length of over [ -2,2 ]. A semicircle!

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