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Integral 2x((1-x^2)^(1/2))

  1. Apr 28, 2016 #1
    1. The problem statement, all variables and given/known data
    Integral 2x((1-x^2)^(1/2))

    2. Relevant equations


    3. The attempt at a solution
    ive tried integration by parts, i tried substitution and i cant get it to work. i also need to figure the integral when x=1 and i keep getting 0 in the numerator. What is the best point of attack?
     
  2. jcsd
  3. Apr 28, 2016 #2

    Charles Link

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    You can use the chain rule for this integral. It is straightforward.
     
  4. Apr 28, 2016 #3

    LCKurtz

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    What happens when you try ##u=1-x^2##?
     
  5. Apr 28, 2016 #4

    SteamKing

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    From the way you've written the integrand, you don't have a denominator, so getting the numerator = 0 isn't that big a deal.

    It's when the denominator = 0 that things blow up. :wink: :frown:


    tsar-bomba1.jpg

     

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