MANE 3351 - Manufacturing Engineering Analysis

Homework Four Assignment

Assigned: October 27, 2025

Due: November 3, 2025 before 11:59 PM (no late submissions)

Consider the integral shown below:

\[ \int_0^2\left(1+e^x\right)^{-2}\,dx \]

Use the specified method to estimate the value of the integral shown in equation (1) by hand:

1. Romberg Integration to find \(R(2,2).\) Show all your work!
2. Gaussian Quadrature with three nodes, and
3. Gaussian Quadrature with four nodes.

Please create a pdf document containing your solution to this assignment and submit to the Homework 5 Drop Box. Remember that this is the last assignment before a test and no late work will be accepted.