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Integration of arcsin Problem

  • Thread starter XJellieBX
  • Start date
  • #1
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Homework Statement


Evaluate [tex]\int arcsin (\frac{2x}{1+x^{2}})[/tex]


Homework Equations


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


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:

Answers and Replies

  • #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!
 
  • #3
459
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You can't just substitute into the equation for arcsin x, it doesn't work that way
 
  • #4
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Thank you =)
 

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