5) [9 marks, 3 each] Let F(x) = SZ v1 - t2 dt for each x E [-1, 1]. a) Use the FTC to find F'(x) for each x E (-1, 1) and use this to show that F(x) is increasing and hence invertible on [-1, 1]. b) By interpreting F(x) geometrically, determine F(-1), F(0) and F(1). c) Let G(y) denote the inverse of F(x). Evaluate G(T) and use the Inverse Function Theorem (ie G'() = FIG()) to evaluate G' (I )