1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Length of arc

  1. Jun 13, 2009 #1
    1. The problem statement, all variables and given/known data

    find the length of the arc


    x = 3y^ (4/3) - 3/32y^(2/3) and y lies between 0 and 216


    2. Relevant equations

    l = integral sqrt (1 + (dy / dx )^2)

    3. The attempt at a solution


    after integration i got this y + 3/16y ^(-4/3) / (-4/3)

    i have to apply 0 and 216 is that correct i get a ridiculous answer
     
  2. jcsd
  3. Jun 13, 2009 #2

    Cyosis

    User Avatar
    Homework Helper

    You can easily check if your answer is correct or not by differentiating the primitive you've found with respect to y. If it is the correct one it should equal the integrand after differentiation. In your case this is not true, so you didn't integrate correctly.
     
    Last edited: Jun 13, 2009
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Length of arc
  1. Arc Length (Replies: 6)

  2. Arc Length (Replies: 3)

  3. Arc Length (Replies: 7)

  4. Arc Length (Replies: 8)

  5. Arc length (Replies: 2)

Loading...