First let's get that radicand simplified a bit:

Let

The first integral may be done using a simple substitution. I'll let you deal with that. For the second integral:

Take a moment and look at the graph I've posted below. You can easily see that this integrand does not exist beyond x = 1. So

<-- We need to do this, else the substitution below is illegal.

Now Let

I'll let you do this one also and then collect all the pieces.

-Dan