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!

Integrate Sqrt[x^2-a]

  1. Dec 4, 2008 #1
    Could someone show me how to integrate this. Bear in mind 'a' could be positive or negative thus i don't think we can use sqrt(a) in our answer...
     
  2. jcsd
  3. Dec 4, 2008 #2

    rock.freak667

    User Avatar
    Homework Helper

    Well if a>0, then you can have sqrt(a) in your answer...

    But for a<0 => -a>0 meaning that your integrand will become sqrt{x^2+b} where b=-a
     
  4. Dec 4, 2008 #3
    Shouldn't matter if it's positive or negative, the integral is still the same, imaginary or not.
     
  5. Dec 4, 2008 #4

    mathwonk

    User Avatar
    Science Advisor
    Homework Helper

    use trig substitutions, sec or tan depending on whether a is positive or negative.
     
  6. Dec 5, 2008 #5

    only problem is say if I use the substitution Let x = sqrt(a)Secy the integrated result has a tany in it
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Integrate Sqrt[x^2-a]
  1. Integrate Sqrt[x^2-a]? (Replies: 3)

Loading...