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How i solve this indefinite integral?

  1. Apr 18, 2015 #1
    1.
    http://www.imageurlhost.com/images/cnj1t05jh6e4fxqy4i5_integral.png
    I know that this integral is solved by the sustitution method

    3. The attempt at a solution
    I tried converting the integral to the form of Arctanx, but that x2 on the numerator ruined everything. Thanks
     
  2. jcsd
  3. Apr 18, 2015 #2

    Mark44

    Staff: Mentor

    Please show us the substitution you used, which sounds like a trig substitution.
     
  4. Apr 18, 2015 #3
    I tried to made the integral to the form ∫dx/x2+1 so that their solution is something like arctanx
     
    Last edited by a moderator: Apr 18, 2015
  5. Apr 18, 2015 #4

    Mark44

    Staff: Mentor

    I figured you did something like that, but that isn't what I asked you for. Please show me your substitution.
     
  6. Apr 19, 2015 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Did you not notice that the numerator and denominator have the same degree?

    [tex]\frac{2x^2}{2x^2+ 1}= 1- \frac{1}{2x^2+ 1}[/tex]
     
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