(MATLAB) The following question needs to be programmed using MATLAB.

Find approximate values for the two integrals 4 integral^1_0 dx/1 + x^2, 8 integral^1 squareroot 2_0 (squareroot 1 - x^2 - x) dx Use recursive function Simpson with elementof = 1/2 times 10^-5 and level_max = 4. Sketch the curves of the integrand f(x) in each case, and show how Simpson partitions the intervals. You may want to print the intervals at which new values are added to simpson_result in function Simpson and also to print values of f(x) over the entire interval [a, b] in order to sketch the curves