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MANE 3351 - Manufacturing Engineering Analysis

Laboratory 9 Assignment

Assigned: November 11, 2024

Due: November 18, 2024 (before 3:30 pm)

Learning Goals

  1. Utilize a numerical integration method to solve an engineering problem.
  2. Continue practicing writing user defined functions, and
  3. Produce an estimate within \(\pm 1\%\) of the true value to receive full credit.

Problem Description

Solve the following problem:

\[ \int_{0.5}^2\frac{e^x\sin x}{x^3+1}\,dx \]

Your Solution

Cell 1

Update your personal information found in the first cell that is a Markdown cell.

Cell 2

In cell 2 (Markdown cell), describe the numerical integration technique that you will use and the reason you selected your numerical integration technique.

Cell 3

In cell 3 (code cell), enter the Python code to implement your numerical integration solution. Your solution must include a user-defined function that returns \(f(x)=\frac{e^x\sin x}{x^3+1}\).

Use GitHub Desktop to upload your repository when you have completed the Lab 9 Assignment.