Please help solve all parts. By hand for 22.1 and using MatLab for 22.2 and 22.3

22.1 Using formulas (22.1 and 22.2), for the integral 12xdx calculate M4 and S4 (by hand, but use a calculator and a lot of digits). Find the percentage error of these approximations, using the exact value. Compare with exercise 211 . 22.2 Write a well-commented MatLaB function program mymidpoint that calculates the midpoint rule approximation for f on the interval [a,b] with n subintervals. The inputs should be f,a,b and n. Use your program on the integral 12xdx to obtain M4 and M100. Compare these with exercise 22 1] and the true value of the integral. 22.3 Write a well-commented MATLAB function program mysimpson that calculates the Simpson's rule approximation for f on the interval [a,b] with n subintervals. It should call the program mysimpweights to produce the coefficients. Use your program on the integral 12xdx to obtain S4 and S100. Compare these with exercise 2211 exercise [222] and the true value of the integral