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MANE 3351 - Manufacturing Engineering Analysis

Homework Four Assignment

Assigned: October 22, 2025

Due: October 29, 2025 before 11:59 PM

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. Trapezoid rule with one interval,
  2. Multiple Trapezoid rule with three intervals \((n=3)\),
  3. Simpson's 1/3 rule with one interval,
  4. Simpson's 1/3 rule with four intervals \((n=4)\),
  5. Simpson's 3/8 rule with one interval.

Please create a pdf document containing your solution to this assignment and submit to the Homework 4 Drop Box.