# Homework Help: Integration of arcsin Problem

1. Mar 4, 2009

### XJellieBX

1. The problem statement, all variables and given/known data
Evaluate $$\int arcsin (\frac{2x}{1+x^{2}})$$

2. Relevant equations
$$\int arcsin x = xarcsinx +\sqrt{1-x^{2}} + C$$

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. Mar 4, 2009

### carlodelmundo

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. Mar 4, 2009

### lubuntu

You can't just substitute into the equation for arcsin x, it doesn't work that way

4. Mar 4, 2009

Thank you =)