Module 19  Applications of Integration  
Introduction  Lesson 1  Lesson 2  Lesson 3  SelfTest  
Lesson 19.3: Arc length  
This lesson introduces the Arc Length Theorem. The theorem is then used to compute the arc length of a curve. Arc Length Theorem If a curve y = f(x) has a continuous derivative on the interval [a, b], its arc length is given by . Finding Arc Length The theorem often gives integrals that are difficult or impossible to evaluate by hand. The TI83 can be very helpful in evaluating or approximating these integrals. Find the length of the curve y = x^{2/3} on the interval [1, 2].
The arc length of the curve is approximately 1.16024 units.
19.3.1 Find the approximate length of the curve y = x^{2} between x = 1 and x = 2. Click here for the answer. 

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