Solution: In Exercise 53 in Section 10.2 it was shown that the length of the ellipse ,
Chapter 11, Problem 76(choose chapter or problem)
In Exercise 53 in Section 10.2 it was shown that the length of the ellipse , , where , is where is the eccentricity of the ellipse. Expand the integrand as a binomial series and use the result of Exercise 50 in Section 7.1 to express as a series in powers of the eccentricity up to the term in .
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer