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MANE 3351 - Manufacturing Engineering Analysis

Homework Five Assignment

Assigned: October 23, 2024

Due: October 30, 2024 before 11:59 pm (no late submissions)

Consider the integral shown below:

\[ \int_1^3e^{\sin x}\,dx \]

Use the specified method to estimate the value of the integral by hand.

  1. Romberg Integrationto find \(R(2,2)\). Show all 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.