ยง7.3: Trigonometric Substitution
Library, Handouts & Tools
| Resource Name | Type | Description | Link |
|---|---|---|---|
| Paul's Notes: Trig Substitution | Study Guide | Standard guide for eliminating radicals using sine, tangent, and secant. | Read Notes |
| Paul's Notes: Practice Problems | Worksheet | A set of problems requiring various substitution methods with solutions. | View Problems |
| Trig Substitution Strategy | Handout | Reference sheet for the three cases ($\sqrt{a^2-x^2}$, $\sqrt{a^2+x^2}$, $\sqrt{x^2-a^2}$). | Download PDF |
| Trig Substitution Cases | Handout | Different trigonometric integrals you might encounter. | Download PDF |
Video Lectures
| Topic | Source | Description | Link |
|---|---|---|---|
| Trigonometric Substitution | Univ. of Houston | Lecture covering the three cases ($\sin$, $\tan$, $\sec$) and triangle construction. | Watch |
| Introduction to Trig Sub | Houston Math Prep | Overview of the three forms and how to build the corresponding triangles. | Watch |
| The Tangent Case ($x=a\tan\theta$) | Houston Math Prep | Worked example involving $\sqrt{a^2+x^2}$. | Watch |
| The Sine Case ($x=a\sin\theta$) | Houston Math Prep | Worked example involving $\sqrt{a^2-x^2}$ and back-substitution. | Watch |