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!

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
    Staff Emeritus
    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

Have something to add?

Similar Discussions: Anti derivative problem