# Integration of arcsin Problem

## Homework Statement

Evaluate $$\int arcsin (\frac{2x}{1+x^{2}})$$

## Homework Equations

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

## 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?

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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!

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

Thank you =)