Write a script or function that solves Problem $4$ in Assignment $1.$ The script should employ a loop to compute and sum the rectangular areas. The accuracy of the answer will be determined by the number of rectangles employed in the approximation; Remember, those rectangles correspond to the partitions of the interval $[01].$ The number of partitions, $m,$ will be an input to your script or function. Test the script$/$function for the following values of $m=5,10,50,100,1000.$ Compute the true$-$error for each case. Assume that the exact value of the integral is $0\mathrm{.}746818.$