To calculate: To determine the curve's length
Answer to Problem 26E
By entering the earlier integral into the software, you can verify that the curve's length
Explanation of Solution
Given Information: Applying the definition, since this curve has a smooth function throughout the specified interval.
Calculation:
Consequently, by applying the definition
Let's determine this function's derivative under the integral.
The
This outcome allows for a return to (1).
Returning this obtained derivative to
Since there isn't a straightforward way to calculate this integral, we'll use Wolfram Alpha.
By entering the earlier integral into the software, you can verify that the curve's length
Chapter 7 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning