Project 8. (Simpson's Rule). For each integral below, determine an appropriate number n of subintervals such that the error in Simpson's Rule IS10-8. (Note: For #3, no such can be found use n-500 Use the formulas, -fe dz 18h where s a bund on r4 on a seScientific workplace to assist you. Write a C++program to estimate the integral by Simpson's Rule; for each integral, input the value of n that you computed. Your program and output should be imported into Scientific Workplace. Run the program for 180n 3. J?12v-z2dr (Note: There is no bound on If("(z)| for this problem. Use n-500.) dz 02241