|Module 19 - Applications of Integration|
|Introduction | Lesson 1 | Lesson 2 | Lesson 3 | Self-Test|
|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 TI-83 can be very helpful in evaluating or approximating these integrals.
Find the length of the curve y = x2/3 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 = x2 between x = -1 and x = 2.
Click here for the answer.
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