****IN MATLAB****

Consider the integral integral _0^1 e^x dx. Analytically calculate the integral, and use that result to compare the accuracy against the: a) Left Riemann Sum b) Right Riemann Sum c) Midpoint Riemann Sum d) Trapezoid Rule. (Note that you could do this "by hand" by coding the algorithm, or by using a built-in technique.) e) Simpson's Rule. (Remember that Simpson's rule requires an even number of subintervals: in the alternative of doing this by hand, you could use the integral command to similar effect.)