X 6. Let f be the function given by f (t) = - 9 1+ + 3 and G be the function given by G(x) = [f(t) dt. 0 a) Find the first four nonzero terms and the general term for the power series expansion of f (t) about t = 0. b) Find the first four nonzero terms and the general term for the power series expansion of G(x) about 1 = 0. c) Find the interval of convergence of the power series for part b). Explain your reasoning