Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 8 - Section 8.1 - Arc Length - 8.1 Exercises - Page 549: 3



Work Step by Step

The formula for the arc length of a curve on the interval (a,b) is $_{a}\int^{b}(\sqrt {1+(dy/dx)^2}$. The derivative of the function $sin(x)$ with respect to x is $cos(x)$. Therefore, the answer is simply $_{0}\int^{\pi}(\sqrt {1+(cos(x))^2}$ which when plugged into a calculator yields 3.8201977890.
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