2. Consider the function f(x) = x cos x. (a) Compute the 4th degree Taylor polynomial P4(x) about the point x = π. (b) Find an upper bound on the error associated with P4(x) on the interval ≤x≤π+0.5. (c) Let In be an approximation to the integral T+0.5 I f(x)dx, where f(x) is approximated by Pn(x). Find 14.