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Homework Help: Several Integrals

  1. Mar 25, 2008 #1
    [SOLVED] Several Integrals

    1. The problem statement, all variables and given/known data

    [tex]\int[/tex][tex]\frac{xdx}{\sqrt{1-x}}[/tex]


    2. Relevant equations

    n/a

    3. The attempt at a solution
    I tried to multiple top and bottom by the conjugate:

    [tex]\int[/tex][tex]\frac{x\sqrt{1+x}dx}{\sqrt{1-x^{2}}}[/tex]

    After trig substitution, I end up with:

    -[tex]\int[/tex]cos[tex]\theta[/tex][tex]\sqrt{1+cos\theta}[/tex]d[tex]\theta[/tex]

    I've also tried u-substitution but nothing seems to work.

    Can anyone help me out on this? And show steps, please? Thanks so much!
     
  2. jcsd
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