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Lecture

8.1 Arc Length Question #1 (Easy)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
8.1 Challenging Integral Applications Arc Length Question #1 (Easy): Length of the Curve Using the Arc Length Formula Strategy: Arc length formula in Leibniz notation is: ∫ √ ( ) This requires taking the derivative of the given funwith respect to , then plugging into the integral over the given interval]. Then solve using all integral techniques you have learned so far. Sample Question: Using the arc length formula, find the length of the curve. Check your answer by noting that the curve is part of a circle. √ , Solution: The arc length formula requires the derivative of y with respect to x, me. Since √ ( ) . Thus: ( ) ( ) . Then, the arc of the length is √ ∫ √ ( √ ) ∫ √ ∫ √ ∫ √ ∫ √ . This we ca
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