Post Instructions (5 Points):
: Choose One of Three Problems
rinitial post, choose one of the following five problems:
roblem 1: \( \int \frac{d v}{v^{3}+v} \)
Problem 2: \( \int \frac{2 x^{2}+3}{x(x-1)^{2}} d x \)
Problem 3: Use the midpoint rule with eight subdivisions to estimate \( \int_{2}^{4} x^{2} d x \)
Problem 4: Use the trapezoidal rule with eight subdivisions to estimate \( \int_{2}^{4} x^{2} d x \)
Problem 5: Approximate the integral to three decimal places using the Simpson's Rule.
tep 2: Write Out Your Work
Solve the chosen problem and provide a detailed step-by-step solution. Show all relevant calcu clearly indicate the limits of integration, integrals, and any necessary intermediate steps.
Do your best here, and note that making a mistake does not negatively impact your score. In far the start, you may earn an extra point!
Step 3: Create Your Initial Post
Compose vour initial nost with the following format.
