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!

Quick integration question

  1. Oct 5, 2005 #1
    Doing a friction fluid denisty question and have to figure out why it cant be done.

    d(1-v) / (1-v) = dt would integrate to ln |1-v| = t + c



    now im faced with the same integration but the function has changed and now im staring a

    d(1-v) / (1 - v^4) = dt is it possible to integrate that?
     
  2. jcsd
  3. Oct 5, 2005 #2

    Tide

    User Avatar
    Science Advisor
    Homework Helper

    Yes. First, write [itex]1-v^4[/itex] as [itex](1-v^2)((1+v^2)[/itex] then do a partial fraction decomposition. Also, rewrite d(1-v) as -dv and you should end up with something like

    [itex]-\frac {1}{2} \tan^{-1}v - \frac {1}{4}\frac{\ln v -1}{\ln v + 1}[/itex]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Similar Discussions: Quick integration question
  1. Quick Integral question (Replies: 12)

  2. Quick integral question (Replies: 11)

Loading...