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!

Find th length of th line x = int sqrt(sec(t)^4 - 1)) from 0 to y

  1. Feb 10, 2008 #1
    1. The problem statement, all variables and given/known data

    definate integral to find length of line

    x = int [sqrt( (sec t)^4 - 1)
    integrate from 0 to y with -pi/4 < y > pi/4
    it is actually y is equal or more/less than pi/4

    3. The attempt at a solution

    Ive worked out that the length of the line will be the same from -pi/4 to 0 as 0 to pi/4,
    giving me

    x = 2*int(sqrt( (sec t)^4 - 1)
    integrating from 0 to pi/4,
    im struggling with the integral, i know it must be substitution and i ve tried numerous trig identities just been coming up blank so far. a little push in the right direction would be great
  2. jcsd
  3. Feb 10, 2008 #2
    sorry that was meant to be y is equal or more than -pi/4 and y is equal or less that pi/4
  4. Feb 10, 2008 #3
    dont worry about it i figured it out
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Find th length of th line x = int sqrt(sec(t)^4 - 1)) from 0 to y