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