1. (25 pts) Romberg integration. Code in MATLAB: The trapezoidal integral approximation using n 25 partitions. Use this result to then generate the 5th order Romberg Extrapola- tion Table of sin(2r)-5_ + 1 from x E [0,10. Also compute the true value of the integral. Print the true integral value as well as the Romberg table. Print the estimated areas and relative errors of the (a) Trape- zoidal Approximation with n = 25 partitions (b) and the 5th order Romberg Extrapolation