Please help with C++ program for integrals (using user input)!.....

Implement a C++ program that calculates the left-endpoint, right-endpoint, trapezoidal, midpoint, and simpsons rule approximations for a particular definite integral. The program needs to have input n from user using cin and needs to display output on screen using cout. As a test case for our numerical integration, we will approximate the definite integral of f (x) = 1/(1+x^2) on the interval [0, 1].