MATLAB.

For this assignment, you are asked to code four algorithms for numerical integrations and generate a figure which should be very similar to Figure 1. Absolute Errors of four numerical integration methods for approximating I(f) = integral^pi_0 f(x) dx where f(x) = e^x cos x. Basically, we need to compute I(f) = integral^pi_0 f(x) dx where f(x) = e^x cos x. We divide the interval [0, pi] into n equal-length sub-intervals and implement the following four algorithms for approximating I (f): S_n: Simpson's rule