MATLAB

5. Write a program to find the integral of f(x) using multiple application of the Simpson's 1/3 rule and generate the table and graph shown below: [20\%] f(x)=0.2+25x200x2+675x3900x4+400x5I=00.8f(x)dx The table above shows the integral of f(x) for different intervals based on n where n is raised to a power of 4 . For example, if the user enters n=3, your program should generate values for all intervals 40,41,42, and 43(=1,4,16, and 64)