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Integration Trouble

  1. Nov 15, 2008 #1
    1. The problem statement, all variables and given/known data

    [tex]\int[/tex] [tex]\sqrt{a^{2}-x^{2}}[/tex][tex]/[/tex][tex]x*\sqrt{x^{2}-b^{2}}[/tex]



    3. The attempt at a solution

    I tried all sorts of substitutions and none work. Please help me.
     
    Last edited: Nov 15, 2008
  2. jcsd
  3. Nov 15, 2008 #2

    HallsofIvy

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    Would it help to know that
    [tex]\frac{a^2- x^2}{x^2- b^2}= \frac{b^2- a^2}{x^2- b^2}- 1[/tex]
     
  4. Nov 15, 2008 #3
    Edit notice: I multiplied the integrand by 1/x. Its not to the xth root of. I didn't type that in first type.
     
  5. Nov 15, 2008 #4
    I don't have a clue how that helps HallsofIvy.
     
  6. Nov 15, 2008 #5
    Mathematica says this rubbish can't be solved.
     
  7. Nov 15, 2008 #6

    HallsofIvy

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    Have you editted the first post? I didn't notice that "x" outside the square root before.
    Let u= x2- b2 so that du= 2xdx
    [tex]\sqrt{\frac{b^2-a^2}{x^2- b^2}-1}= \sqrt{\frac{A}{u}- 1}[/tex]
     
  8. Nov 16, 2008 #7
    Yes. I edited the first post. Forget it though. I think what I did is wrong anyway.
     
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