Integrate x² between -1 and 3 between using both the stone throwing approach and the mean value approach.

For m=1 & N=1000, what do you observe if you plot N vs calculated value of the function for both methods?

For N=10², 10³,10⁴, 10⁵, 10⁶ and m=16 plot the N vs absolute error for both methods. What relationship fits this distribution of points? Comment on what you observe

Now plot N against the Standard Deviation (the Variance) for both methods and comment on what you observe.