Using Trig substitution for the below:

If F(X) = Integral of ((1-t^2)^(1/2))dt over (-1, x) for all x [-1,1].

1) How can we use the FTC to derive F'(x) for all x that are an element of (-1,1) and then use this to explain why F is increasing on [-1.1)

2) How do we describe the area that F(0) represents geometrically (i.e. draw picture).