Let a > b and set Use a parametric representation to show that the ellipse has length

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Let a > b and set k = 1- 62

Use a parametric representation to show that the ellipse (2)+(% = 1has length L = 4aG(π/2, k), whereG(0, k) = So 1 - k sin t dt

is the elliptic integral of the second kind.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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