Can you help me write a matlab code to solve this problem?

Problem 3. Trapezoidal rule and Simpson's 1/3 rule Evaluate the following integral: 4 0 (a) analytically (by hand or using MATLAB), (b) single application of the trapezoidal rule, (c) composite trapezoidal rule with n 2 and 4, (d) single application of Simpson's 1/3 rule, (e) composite Simpson's 1/3 rule with n4. For each of the numerical estimates (b) through (e), determine the true percent relative error based on (a). Hint: In order to analytically evaluate a definite (or indefinite) integral you can use the MATLAB built-in function int. Please read the MATLAB's manual carefully and duplicate the examples in there Problem 3. Trapezoidal rule and Simpson's 1/3 rule Evaluate the following integral: 4 0 (a) analytically (by hand or using MATLAB), (b) single application of the trapezoidal rule, (c) composite trapezoidal rule with n 2 and 4, (d) single application of Simpson's 1/3 rule, (e) composite Simpson's 1/3 rule with n4. For each of the numerical estimates (b) through (e), determine the true percent relative error based on (a). Hint: In order to analytically evaluate a definite (or indefinite) integral you can use the MATLAB built-in function int. Please read the MATLAB's manual carefully and duplicate the examples in there