Dear Students, Here is what we need to know by now: Techniques of Integration: 7.1 Integration by parts Illustrative examples: 1, 2, 3, 4, 5 7.2 Trigonometric Integrals Illustrative examples: 1, 2, 3, 4, 5, 6, 10 7.3 Trigonometric Substitution Illustrative examples: 1, 2, 3, 4, 5, 6 7.5 The method of partial fractions Illustrative examples: 1, 2, 3, 4, 5, 6 7.7 Improper integrals Illustrative examples: 1, 2, 3, 4, 7, 8, 9, 10, 11, 12 Theorems 1& 2 (p-integrals), 3 (comparison) Applications of integrals 7.8 Probability and integration Illustrative examples: 1, 2, 3 6.1 Area between two curves Illustrative examples: 1, 2, 3, 4, 5 6.2 Setting up integrals: volume, density, average value Illustrative examples: 1, 2, 3, 4, 5, 6, 7, 8 Theorem 1: Mean value theorem for integrals 6.3 Volume of revolution Illustrative examples: 1, 2, 3, 4, 5 We will continue 6.3, 6.4, 6.5 this week. Be sure that you understand all illustrative examples listed above. Enjoy it! Bozenna Pasik- Duncan
