The function is called an elliptic integral of the second kind. Prove that for |k| G(k)= /2

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The function G(k)= /2 0 1-k sin tdt is called an elliptic integral of the second kind. Prove that for |k|

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 06:28 AM

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The function is called an elliptic integral of the second kind. Prove that for |k| G(k)= /2

Question:

G(k)= π/2 0 √1-k² sin² tdt

Step by Step Answer:

find For k 1 k sin t 1 for all t Substituting k sin...View the full answer

Calculus

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