In this module, you will learn additional integration techniques and limits. The module content is split into four lessons.
Lessons
- Lesson 3.1: Tables of Integrals
- Lesson 3.2: Numerical Integration
- Lesson 3.3: Indeterminate Forms and LʻHospitalʻs Rule
- Lesson 3.4: Improper Integrals
Show Your Work Problems
Other Information
Project 3:
Trying to evaluate raises a problem: we definitely have the indeterminate form
but we can’t use L’Hospital’s Rule since the denominator’s factorial is not a differentiable function.
- Search the internet to find a reasonably reliable web site or page that gives a definition of two functions having asymptotic equivalence (aka being asymptotically equivalent). Submit the definition and the web site/page you used as a reference.
- Search the internet to find some version of Stirling’s Formula (aka Stirling’s Approximation). Submit the formula and the web site/page you used as a reference.
- Use Stirling’s Formula to evaluate
.