Unit+3

=Unit 3 (Integration Techniques and Other Minutiae) -- Chapter 8=


 * ** Blank Unit 3 Notes (Chapter 8 content) **
 * **Unit 3 Exam Review (with answers)**

**Collected Homework by Book Section (//TOTAL:// //159 problems//) -- UPDATED 4/2 **
 * ** 8.1 ** ( // 24 problems // )  ** : ** 1, 5, 7, 11, 13, 17, 19, 23, 25, 27, 31, 33, 37, 39, 43, 45, 49, 61, 63, 65, 71, 73, 97, 99
 * ** 8.2 ** (//28 problems//): 1, 7, 13, 17, 19, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 53, 57, 59, 61, 65, 69, 71, 73, 83, 89, 95, 99, 101
 * ** 8.3 ** (//24 problems//): 1, 3, 9, 11, 15, 17, 21, 25, 27, 31, 33, 35, 39, 43, 45, 53, 57, 59, 61, 65, 69, 87, 89, 95
 * ** 8.4 ** (//23 problems//): 1, 3, 5, 9, 11, 15, 17, 21, 23, 27, 29, 31, 35, 37, 43, 45, 47, 49, 51, 53, 67, 71, 73
 * ** 8.5 ** (//18 problems//): 1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 37, 39, 41, 43, 45, 47, 49, 57
 * ** 8.6 ** (//17 problems//): 1, 5, 9, 13, 17, 21, 25, 29, 31, 33, 35, 39, 43, 45, 47, 49, 63
 * ** 8.7 ** (//25 problems//): 1, 3, 5, 7, 11, 13, 15, 17, 21, 23, 25, 27, 31, 33, 35, 39, 41, 45, 49, 51, 55, 57, 65, 67, 71

I will be collecting this book homework at the time of the Exam for Unit 3, and grading at least one problem from each section (unannounced).


 * Answers to all odd-numbered questions from our book. **

**Overall Unit Thoughts**

This unit is a cold splash of water for us -- we've been talking applications for so long that we've almost forgotten how much drudgery integration can be with all the rules and tricks to keep straight. Well, fear not! This unit will remind us of that, all too well! However as a result of increasing our integration muscle, this unit will allow us to tackle more complex problems and applications. This is critical to the bigger and badder problem solving that is so central to later calculus and analysis course work.

**Section 8.1 -- Basic Integration Rules**
 * **End of Section Practice Problems (from notes) -- collected as "quiz"**

**Section 8.2 -- Integration by Parts**
 * **8.2 Quiz**

**Section 8.3 -- Trigonometric Integrals**
 * **8.3 Quiz**

**Section 8.4 -- Trigonometric Substitution**
 * **8.4 Quiz**

**Section 8.5 -- Partial Fractions**
 * **Partial Fractions Synopsis**
 * **8.5 Quiz**


 * Section 8.6 -- Integration by Tables (and other techniques) **


 * Section 8.7 -- Indeterminate Forms and L'Hopital's Rule **
 * **8.7 Quiz**

**Section 8.8 -- Improper Integrals**
 * **8.8 Quiz**