Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Integration problem

  1. Oct 4, 2003 #1
    Hey everyone, I just need a little help with this integral, I just can't get it:

    integral of: (1/((x^(1/2)(x^(1/2)+1)) I know this is hard to read typed out, but said it is "Integral of 1 over the quantity root x times quantity root x plus 1. I tried doing partial fractions, but then I get stuck again.

    Thanks in advance for your help!
     
  2. jcsd
  3. Oct 4, 2003 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Did you try the substitution x = u2 to get rid of the roots?
     
  4. Oct 4, 2003 #3
    I think I tried that, but that led me to a trig substition with arc tan and it's not leading my to the right answer, which I think is only with natural log.
     
  5. Oct 4, 2003 #4

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Show me what you got; none of the terms involved should be quadratic, thus no arctan function.
     
  6. Oct 4, 2003 #5
    Oh yea! The x=u^2 substitution did the trick actually, thanks for your help!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook