Homework

Your examples directory should contain a program called ``integrate.c'', which contains an implementation of the trapezoidal method. You can also view the program directly. In this assignment, you will be modifying this program.

1. Add a function rectangle to integrate.c that takes the same parameters as trapezoid but computes a rectangular approximation. Modify main to print out the results of both approximations for a given value of N.
2. Use Maple's int function to determine Maple's approximation to the integral of the integrand used in integrate.c. Prepare a table showing the differences between the two approximations in your C program with Maple's approximation as N takes on values of 5, 10, 20, 40, 80, and 160. What conclusions about the two approximation techniques can you draw from this table?