Chapter 5
Applications of Integration
Embedded Files
Chapter 5 Video # 1: (Watch and Learn) Properties of Logarithms: Part 1(9:58)
Chapter 5 Video # 3 Integral of Involving ln x(introduction) (4:43)
Chapter 5 Video # 4 : Integral of 1 / x with Substitution(8:26)
Chapter 5 Video # 5: (Watch and Learn) Absolute Value Sign with 1 / x(5:41)
Chapter 5 Video # 6: Integration Involving Long Division(6:19)
Homework # 1 Page 330; # 7, 9, 17, 19, 23
Chapter 5 Video # 7: Integral of tan x(3:58)
Chapter 5 Video # 8: Integral of Secant(4:10)
Homework # 2 Page 330; # 27, 31, 33, 35
Homework # 3 Page 330-331; # 46, 47, 63, 79
Chapter 5 Video # 9: Integration of Exponentials Part I (5:09)
Chapter 5 Video # 10: Integration of Expnonentials Part II(5:19)
Homework # 4 Page 349−350; # 97, 101, 105, 107, 117
Chapter 5 Video # 11: Review of Derivative of b ^x(5:05)
Chapter 5 Video # 12: Integral of b ^ x(10:14)
Homework # 5 Page 357; # 63, 65
Chapter 5 Video # 13: (Watch and Learn) Evaluate Inverse Trig Functions(5:33)
Chapter 5 Video # 14: (Watch and Learn) Inverse Trigonometric Functions: Part 1(10:46)
Chapter 5 Video # 15: Integrals Involving Inverse Trig Part I(7:39)
Chapter 5 Video # 16: Integrals Involving Inverse Trig Part II(6:39)
Chapter 5 Video # 17: Integrals Involving Inverse Trig Part III(6:18)
Chapter 5 Video # 18: Integrating Sin^2x(3:47)
Homework # 6 Page 393; # 8(pi/36), 13, 17, 19, 25
Homework # 7 Page 393; # 47−50*
*For 47−50, if you can integrate them, do the integration. Most can be integrated.
Homework # 8 Worksheet Quiz Review # 1
Quiz # 1
In Class Notes
Homework # 9 Page 377; # 33, 41, 49, 53
Homework # 10 Page 377-378; # 57(solve for y), 63(solve for y), 65(solve for y)
Homework # 11 Worksheet
Homework # 12 Worksheet
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Chapter 7 Video # 4: Partial fraction expansion to evaluate integral(8:51)
Chapter 5 Video # 19: The Logistic Equation and the Analytic Solution(12:09)
Chapter 5 Video # 20: Ex. Logtistic Growth Differential Equation(7:10)
Chapter 5 Video # 21: AP Calculus BC 2004 FRQ Question 5(4:26)
Homework # 13 Worksheet
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Homework # 14 Worksheet
Homework # 15 Worksheet
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Chapter 5 Video # 22: (Watch and Learn) Introduction to Euler's Method(12:42)
Chapter 5 Video # 23: Euler's method-Example 1(10:18)
Chapter 5 Video # 24: (Watch and Learn) Efficiency of Euler's Method(6:53)
Desmos: Euler's Method Demonstration
Geogebra: Slopefields and Euler's Method
Homework # 16 Worksheet
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Homework # 17 Worksheet Quiz Review # 2
Quiz # 2
Chapter 5 Video # 25: Area between curves(4:08)
Chapter 5 Video # 26: Area Between Curves(with respect to x)(5:19)
Chapter 5 Video # 27: Area between curves with multiple boundaries(3:26)
Chapter 5 Video # 28: Area Between Curves Part II(3:20)
Chapter 5 Video # : Calculus 2-Integration: Finding the Area between Curves(19 of 22) 3 Curves(6:53)
Desmos: Area between two curves
Homework # 18 Page 418-419; # 19, 35, 43, 67
Chapter 5 Video # 29: Area Between Curves(with respect to y) Part I(2:48)
Chapter 5 Video # 30: Area Between Curves(with respect to y) Part II(3:35)
Chapter 5 Video # : Area Between Curves with Respect to Y(8:13)
Homework # 19 Page 418−420; # 25, 27
Homework # 20 Worksheet
Chapter 5 Video # 32: Volume of Rotation:disk method about the x-axis or y =(9:00)
Chapter 5 Video # 33:(Watch and Learn) Disc method around y-axis(7:32)
Chapter 5 Video # 34: Volume of Rotation: disk method about the y-axis or x=(10:01)
Geogebra: Solid of Revolution(x or y axis)
Geogebra: Solids of Revolution: Discs(x-axis)
Geogebra: Volume Solid of Revolution about the x-axis
Geogebra: Solids of Revolution(about the y-axis)
Homework # 21 Page 428; # 3, 9
Chapter 5 Video # 35: Generalizing the washer method(8:30)
Chapter 5 Video # 36: Volumes: Washer Method(with respect to x) Part I(8:23)
Chapter 5 Video # 37: Volumes: Washer Method(with respect to x) Part II(4:35)
Geogebra: Solid of Revolution about the x-axis
Homework # 22 Page 428; # 5, 6
Chapter 5 Video # 38: Volumes: Washer Method(with respect to y) Part I(7:07)
Chapter 5 Video # 39: Volumes: Washer Method(with respect to y) Part II(10:10)
Homework # 23 Page 428; # 7, 10
Chapter 5 Video # 40: Washer method rotating around non-axis(6:37)
Chapter 5 Video # 41: Part 2 of washer for non axis rotation(8:13)
Chapter 5 Video # 42: Volumes: Washer Method not Rotated about x or y axis Part I(9:09)
Chapter 5 Video # 43: Washer or ring method for vertical line rotation(7:49)
Chapter 5 Video # 44 Volumes: Washer Method not Rotated about x or y axis Part II(3:03)
Geogebra: Solids of Revolution(about any horizontal axis)
Homework # 24; Page 428 # 11
Chapter 5 Video # 45: Rectangular Cross Sections(3:30)
Chapter 5 Video # 46: Triangular Cross Sections(3:39)
Chapter 5 Video # 47: Circular Cross Sections(4:05)
Desmos: Cross Sectional Volume Semi-circle
Geogebra: Cross Sectional Volume Semi-circle
Chapter 5 Video # 48: Square Cross Sections(5:00)
Geogebra: Cross Sectional Volume(square, equi, semi)
Desmos: Equilateral/Isosceles Triangular Cross Sections
Desmos: Cross Sectional Volume Square
Desmos: Cross Sectional Volume Fixed Height Rectangle
Desmos: Rectangular Cross Section with Proportional Height
Geogebra: Cross Sectional Volume Square
Geogebra: Visualizing Solids with regular cross sections
Geogebra: Solids with Known Cross-Sections
Geogebra: Solids with Different Cross Sections
Geogebra: Solids Formed From Certain Cross Sections
Chapter 5 Video # 49: Equilateral Triangles Cross Section(10:57)
Chapter 5 Video # 50: Isosceles Right Triangles Cross Section(2:25)
Homework # 25 Page 431; # 60(a,c)
Homework # 26 Worksheet
Homework # 27 Worksheet Quiz Review # 3
Quiz # 3
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