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Integration of arcsin Problem

  1. Mar 4, 2009 #1
    1. The problem statement, all variables and given/known data
    Evaluate [tex]\int arcsin (\frac{2x}{1+x^{2}})[/tex]

    2. Relevant equations
    [tex]\int arcsin x = xarcsinx +\sqrt{1-x^{2}} + C[/tex]

    3. The attempt at a solution
    I'm not sure where to begin, when I try to substitute the term inside the brackets the equation gets even more complicated. Help?
    Last edited: Mar 4, 2009
  2. jcsd
  3. Mar 4, 2009 #2
    Are you familiar with integration by parts? The relevant equation you stated uses parts by using u = arcsin x and dV = dX.

    Do the same procedure with your above integral... though you are correct that it does get messy!
  4. Mar 4, 2009 #3
    You can't just substitute into the equation for arcsin x, it doesn't work that way
  5. Mar 4, 2009 #4
    Thank you =)
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