Chapter 4
Integration
Embedded Files
Chapter 4 Video # 1: Introduction to Antiderivatives (8:09)
Chapter 4 Video # 2: Power Rule with Antiderivatives (3:35)
Chapter 4 Video # 3: Properties of Antiderivatives (7:51)
Chapter 4 Video # 4: Common Antiderivatives (4:01)
Chapter 4 Video # 5: Examples of Power Rule Antiderivatives Part I (13:12)
Chapter 4 Video # 6: Examples of Power Rule Antiderivatives Part II (13:01)
Homework # 1 Page 249; # 21, 27, 29, 31, 33
Chapter 4 Video # 7: Basic Antiderivatives of Trigonometric Functions (6:22)
Homework # 2 Page 249; # 38, 40, 41, 42
38) theta ^ 3 / 3 + tan theta + C 40) sec y - tan y + C 42) -csc x + C
Chapter 4 Video # 8: Initial Value Antiderivatives Part I (6:12)
Chapter 4 Video # 9: Initial Value Antiderivatives Part II (3:57)
Homework # 3 Page 250−252; # 58, 61, 62, 89−94
58) f(s) = 3s^2 -2s^4 + 23 62) f(x) = - sin x + 2x + 6
In class notes on Left Hand, Right Hand, Midpoint and Trapezoidal Approximation
Geogebra: Riemann Sum from a to b
Geogebra: Comparing Numerical Integration Methods
Geogebra: Comparing Riemann Sums
Homework # 4 Worksheet
In class Notes: Trapezoid Rule(Pages 5-11)
Homework # 5 Page 263; # 63, 65 and Page 305; # 7(Trapezoid only), 9(Trapezoid only)
In class Note: Integration involving a Table of Values(Page 12)
Homework # 6 Worksheet
Homework # 7 Review Worksheet Quiz # 1
Quiz # 1 CALCULATOR
Chapter 4 Video # 10: Riemann Sum Part II(9:49)
Chapter 4 Video # 11: Riemann Sum Part III(9:56)
Homework # 8 Page 272; # 4, 8
Chapter 4 Video # 12: Rewriting definite integral as a limit of Riemann Sums(5:33)
Chapter 4 Video # 13: Writing Riemman sum limit as definite integral(6:34)
Homework: Circuit-Writing and Interpreting Riemann Sums
Chapter 4Video # 14: Watch and Learn(Stop at 6 Mins): Fundamental Theorem Part I (10:20)
Chapter 4 Video # 15: Watch and Learn: Fundamental Theorem Part VI (8:49)
Chapter 4 Video # 16:(Stop at 4:52) Watch and Learn: Fundamental Theorem Part VII (7:05)
Chapter 4 Video # 17: 4.5 First Fundamental Theorem of Calculus(8:49)
Chapter 4 Video # 18: Properties of Integrals (5:44)
Chapter 4 Video # 19: Integrable Functions(2:56)
Homework # 9 Page 273−274; # 27, 62, 64−66 and Page 284; # 18(no calculator), 20(no calculator), 22(no calculator)
18) 8 - 2rad(2) 20) (16rad(2))/15 22) 4569 / 80
*Can't Use decimals or calculator
Chapter 4 Video # 20: Integration Involving Even and Odd Functions (12:24)
Notes in Class: Properties of Integrals(Pages 13-15)
Homework # 10 Page 273−274; # 31−42, 46 and Page 298; 95
32) 0.5(Pi)r^2 34) 0 36) 30 38) 68 40) -36 42) 3, 1, 0, 5 46) 14, 4, 8, 0
Notes in Class: Integration Involving Absolute Value
Homework # 11 Page 284; # 24(no calculator), 26(no calculator)
No decimals, exact values only for all applicable problems
24) 13 / 2 26) 4
Notes in Class: Area under the curve notes
Homework # 12 Page 284; # 37, 43
Chapter 4 Video # 22: Mean Theorem for Integration (6:48)
Chapter 4 Video # 23: Average Value (7: 30)
Homework # 13 Page 285; # 46, 50(no calculator)
Exact values only for applicable problems.
46) 1.650963624 50) rad(3)
Chapter 4 Video # 24: Antiderivative as a Function of x (6:25)*
There is a couple of typos. Sorry.
Chapter 4 Video # 25: Second Fundamental Theorem of Calculus (9:26)
Homework # 14 Page 286−287; # 71, 83, 89, 91, 97-99, 105
Homework # 15 Quiz Review # 2 Worksheet
Quiz # 2 NO CALCULATOR
Chapter 4 Video # 28: AP Calculus Interpreting Graphs Review(7:38)
Notes in Class: Integration Involving Graphs
Homework # 16 Worksheet
Notes in Class: Integration Involving Graphs
Homework # 17 Worksheet
Notes in Class: Integration Involving Graphs
Homework # 18 Worksheet
Notes in Class: Integration Involving Graphs
Homework # 19 Worksheet
Homework # 20 Quiz Review # 3 Worksheet
Chapter 4 Quiz # 3 Video # 2......#11 should be g(-9) = -19 - 9pi/2
Quiz # 3 NO CALCULATOR
Watch for homework after Quiz # 3
Chapter 4 Video # 29: (Stop at 7:22)Indefinite Integration Using Substitution(11:04)
Homework # 21 Page 297-298; # 13, 17, 23, 25, 29, 31, 89
Chapter 4 Video # 30: Definite Integration with U-Substitution Part I (2:44)
Chapter 4 Video # 31: Definite Integration with U-Substitution Part II (2:59)
Geogebra: U-substitution Demonstration
Homework # 22 Page 298 - 299; # 66, 67, 109 - 112
66) 41472
Chapter 4 Video # 32: Trigonometric Integration with U-Substitution Part I (1:46)
Chapter 4 Video # 33: Trigonometric Integration with U-Substitution Part II (4:27)
Homework # 23 Page 297 - 299; # 47(do the integral three different ways), 48,, 49, 51(do the integral three different ways), 53(no calculator)
48) - sec (1 - x) + C
Chapter 4 Video # 34: (Watch and Learn Again) Integration Involving Even and Odd Functions (12:24)
Homework # 24 Page 297 - 299; # 91 - 94, 113, 114
92) 2 / 3
Chapter 4 Video # 35: Integration with Double Substitution Part I(5:42)
Chapter 4 Video # 36: Integration with Double Substitution Part II(7:44)
Chapter 4 Video # 37: Integration with Double Substitution Part III(2:50)
Homework # 25 Page 298−299; # 61, 62, 85
62) (2/3)(x + 4)^0.5 *(2x - 13) + C
Homework # 26 Quiz Review # 4 Worksheet
Quiz # 4 NO CALCULATOR
Videos for Eugene to Consider
Chapter 4 Video # : Watch and Learn: Fundamental Theorem Part II (6:24)
Chapter 4 Video # : Watch and Learn: Fundamental Theorem Part III (10:16)
Chapter 4 Video # : Watch and Learn: Fundamental Theorem Part IV (4:15)
https://www.youtube.com/watch?v=mhb0epc6aFk
AP Calculus Chapter 4 Notes Answers Part I.pdfAP Calculus Chapter 4 Notes Answers Part II.pdfAP Calculus Chapter 4 Notes.pdfAP Calculus Chapter 4 Homework.pdfAP Calculus Chapter 4 Quiz Review Solutions.pdfGoogle Sites
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