Write Matlab code for computing the integral by both the trapezoid rule AND Simpsons rule for the following:

Obtain the approximation for n = 2k with k = 1, 2, . . . , 11. Plot the log10 of the error vs the log10 of the number of steps for both rules. Comment on the slopes of the error lines.

-2 /3 (cos(x) - sin(x))dx 0