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2. Approximate S4/4 23* sin 2x dx using Simpsons 1/3 Rule. (10 marks) 3. A certain resonant spring system with a periodic forcing function is modeled by x"(t) + 25x(t) = 8 sin(5t) with initial conditions x(0) = 0 and x'(0) = 0 Use Eulers Method to solve the differential equation over the interval t = [0,1] with step size At = 0.25. Write a short Matlab code to find the answer above using ode23 along with a user-defined function. (20 marks)