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!

Anti derivative problem

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

    f'(x)= (2+x^2)/(1+x^2) Find anti derivative

    2. Relevant equations

    3. The attempt at a solution

    I attempted to bring the denominator up using (1+x^2)^-1 and i also tried long division to simplify but had no luck...

    1/(1+x^2) is the inverse tan derivative, but what can i do from here:

    (2+x^2) * 1/(1+x^2) is substitution legal here?
    Last edited: Nov 1, 2008
  2. jcsd
  3. Nov 1, 2008 #2


    User Avatar
    Homework Helper

    Try putting (2+x^2)/(1+x^2) as 2/(1+x^2) + x^2/(1+x^2)

    then divide out the second fraction
  4. Nov 1, 2008 #3


    User Avatar
    Science Advisor

    Or write
    [tex]\frac{2+x^2}{1+ x^2}= \frac{1}{1+x^2}+ \frac{1+ x^2}{1+ x^2}[/tex]
  5. Nov 1, 2008 #4
    so i would cancel the second term then take the anti derivate to be left with invesre tan of x + x + C .. is this correct?
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Anti derivative problem Date
Conditions on f such that the anti-derivative F is periodic? Feb 21, 2017
Anti-Derivative of e^x/2 Jan 29, 2016
Anti-derivative motion problem Nov 12, 2010
Anti-derivative Problem Dec 9, 2008
Anti-derivative problem help Dec 1, 2005