Abstract
In previous chapters we have seen how calculus reveals the slope and the area under a function’s graph, and it should be no surprise that it can be used to compute the arc length of a continuous function. However, although the formula for the arc length results in a simple integrand, it is not always easy to integrate, and other numerical techniques have to be used. In order to compute a function’s arc length using integration, we first need to understand the mean-value theorem.
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© 2013 Springer-Verlag London
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Vince, J. (2013). Arc Length. In: Calculus for Computer Graphics. Springer, London. https://doi.org/10.1007/978-1-4471-5466-2_9
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DOI: https://doi.org/10.1007/978-1-4471-5466-2_9
Publisher Name: Springer, London
Print ISBN: 978-1-4471-5465-5
Online ISBN: 978-1-4471-5466-2
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