In matlab please

(i) trapezoidal rule, (ii) 3. Implement the following nurnerical miethods for approximating integrals: Simpson's rule, and (iii) Clenshaw-Curtis rule. Consider the function f(x)-cos(3 x), xE [1,15] (a) Using calculus, compute the definite integral of f(x) on the interval 1, 1.5 (b) For n 21 with k 1,..., 10, use the threeical integration methods to estimate the integral with n points. Plot the relative error as a function of n on a log-log scale. (c) Identify the values of n that constitute the asymptotic regime. For each of the three methods, what convergence rate do you observe? (i) trapezoidal rule, (ii) 3. Implement the following nurnerical miethods for approximating integrals: Simpson's rule, and (iii) Clenshaw-Curtis rule. Consider the function f(x)-cos(3 x), xE [1,15] (a) Using calculus, compute the definite integral of f(x) on the interval 1, 1.5 (b) For n 21 with k 1,..., 10, use the threeical integration methods to estimate the integral with n points. Plot the relative error as a function of n on a log-log scale. (c) Identify the values of n that constitute the asymptotic regime. For each of the three methods, what convergence rate do you observe