1. Limited time only! Sign up for a free 30min personal 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!

How would I integrate?

  1. Jun 7, 2013 #1
    1. The problem statement, all variables and given/known data

    integrate 2t^(2)/(1+t^2)^(2)

    2. Relevant equations

    trig sub 1+tan^2(x)= sec^2(x)

    3. The attempt at a solution
    the attempted solution is attached.

    Attached Files:

  2. jcsd
  3. Jun 7, 2013 #2


    User Avatar
    Homework Helper

    Your derivation is not correct and the method you follow is a bit complicated. Try integration by parts, ∫u'vdt=uv-∫uv'dt, with u'=2t/(1+t^2)^2 and v=t.

    Last edited: Jun 8, 2013
  4. Jun 7, 2013 #3


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper

    If y = (1/3)t + C, then dy/dt = 1/3, which is clearly not even remotely close to the original integrand.
  5. Jun 8, 2013 #4
    omg! i knowwwwwwwwwwwwwwwwww! i did it. that was so stupid of me. thank you.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted