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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 ].
![Length of a Curve: Example Find the length of y = x 2 over [ 0,2 ].](http://images.slideplayer.com/16/5016834/slides/slide_5.jpg "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!
![Length of a Curve: Example Find the length of y = x 2 over [ 0,2 ]. Revisited!](http://images.slideplayer.com/16/5016834/slides/slide_6.jpg "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!
![Length of a Curve: Example Find the length of over [ -2,2 ]. A semicircle!](http://images.slideplayer.com/16/5016834/slides/slide_7.jpg "Length of a Curve: Example Find the length of over [ -2,2 ]. A semicircle!")
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