# Integrating 2x[arcsin(x^2)]dx

The title contains the problem I have difficulty with.

I understand I must use u substitution and then integrate by parts.

So my actual problem is: How do I find the derivative of arcsin(x^2) if u = arcsin(x^2)?

I know the derivative of arcsin(x^2) is 1/(1-x^2)^1/2

Thanks for helping. I hope this is detailed enough.