The unit circle with the point (1, 0) removed has parametrization (see Exercise 79 in Section 11.1)

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The unit circle with the point (−1, 0) removed has parametrization (see Exercise 79 in Section 11.1)

r(t): = 1-1 2t 1+1 1 + 1, -


Use this parametrization to compute the length of the unit circle as an improper integral. Hint: The expression for'(t) simplifies.

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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