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Here they are, such as they are.
Note: The assignments listed are from the Summer 2020 class. While the items assigned for your section will likely be similar, they might not be exactly the same.
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Video Lessons:
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Chapter 8:
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Section 8.1
Basic Forms Review
Review of Calc I Integrals I
Review of Calc I Integrals II
Review of Calc I Integrals III
Review of Calc I Integrals IIII
Review of Calc I Integrals V
Homework: Textbook page 520 #15 – 45 and #57 – 69
Solution Hints
You should try several times on your own, but if you get stuck here are some tips. Try the Level I hints before going to Level II.
Remember, the exam will have no hints.
A couple videos reviewing the “Double Linear Scenario” are Here (Part I) and Here (Part II).
Review of u substitution
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Section 8.2
Integration by Parts I Introduction
Integration by Parts II Examples
Integration by Parts III Examples
Integration by Parts IIII Examples
Integration by Parts V Examples
Integration by Parts VI Examples
Integration by Parts VII Examples
Integration by Parts VIII Examples
Integration by Parts IX Examples
Homework: pg 529 #15-33 odd (omit #23) and # 43-51 odd (sorry for the delay in posting these)
Solution Hints
A few people asked about #33. Here is my solution. Other solutions are possible.
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Section 8.3
Trigonometric Integrals I
Trigonometric Integrals II
Trigonometric Integrals III
Trigonometric Integrals IIII
Trigonometric Integrals V
Trigonometric Integrals VI
Trigonometric Integrals VII
Trigonometric Integrals VIII
Trigonometric Integrals IX
Homework: pg 538 #3-13 odd, #21-33 odd, #59-65 odd
Solution Hints
Notice for this homework: You should omit #9 and #63. These are do-able, but are well beyond what I will expect of you.
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Section 8.4
Trig Substitution I
Trig Substitution II
Trig Substitution III
Trig Substitution IIII
Trig Substitution V
Trig Substitution VI
Trig Substitution VII
Trig Substitution VIII
Trig Substitution IX
Trig Substitution X
Homework: pg 547 #5-35 odd, and #39
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Section 8.5
Partial Fractions I Introduction Part I
Partial Fractions II Introduction Part II
Partial Fractions III Category I Example 1
Partial Fractions IIII Category I Example 2
Partial Fractions V Category II Example 1
Partial Fractions VI Category II Example 2
Partial Fractions VII Category III Example 1 Part 1
Partial Fractions VIII Category III Example 1 Part 2
Partial Fractions IX Category III Example 2 Part 2
Partial Fractions X Category III Example 2 Part 2
Partial Fractions XI Category IIII Example 1
Partial Fractions XII Category IIII Example 2
Homework: pg 557 #3-19 (omit #9)
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Section 8.8
Infinity Arithmetic Review
L’Hopital’s Rule I
L’Hopital’s Rule II
L’Hopital’s Rule III
L’Hopital’s Rule IIII
Improper Integrals I
Improper Integrals II
Improper Integrals III
Improper Integrals IIII
Improper Integrals V
Homework: pg 579 #17, 17, 21, 27, 29
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More Section 8.8
More L’Hopital’s Rule
More Infinity Arithmetic
More Improper Integrals I
More Improper Integrals II
More Improper Integrals III
More Improper Integrals IIII
p-Integrals
Homework: pg 579 #33, 35, 37
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Chapter 7:
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Section 7.2
Solids of Revolution Intro
Disc Method I
Disk Method II
Disk Method III
Washer Method I (Sub-category of the Disk Method)
Washer Method II
Washer Method III
Homework: Pg 461 #5,7,9,11,13a, 15a
Note: For these items you need only SET UP the integrals. Solutions are above.
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Section 7.3
Shell Method Intro
Shell Method I
Shell Method II
Disk Method vs Shell Method
Homework: Pg 470 #3,5,7,9,15
Note: For these items you need only SET UP the integrals. Solutions are above.
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Section 7.4
Arc Length I
Arc Length II
Homework: Pg 480 #21,23,25
Note: For these items you need only SET UP the integrals. Solutions are above.
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Section 7.5
Work Integral
Work Integrals
Homework: Pg 491 #9*,11*,13*,21,23
* Note that in problems 9, 11, and 13 you will need to convert from inches to feet.
Note: For these items you need only SET UP the integrals. Solutions are above.
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Section 7.6
Center of Mass I
Center of Mass II
Center of Mass III
Center of Mass IIII (this video had an error – it’s being corrected)
Homework: Pg 502 #15 – 27 odd
Note: For these items you need only SET UP the integrals. Solutions are above.
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Solutions to Chapter 7 Homework
Page 1
Page 2
Page 3
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Chapter 10:
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Section 10.2
Parametric Equations I
Parametric Equations II
Parametric Equations III
Parametric Equations IIII
Parametric Equations V
Parametric Equations VI
Homework: Pg 707 #5 – 19 odd
Note: For these items you need only SET UP the integrals. Solutions are above.
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Section 10.4
Polar Coordinates I
Polar Coordinates II
Polar Coordinates III
Polar Coordinates IIII
Polar Coordinates V
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Section 10.5
Area in Polar Coordinates I
Area in Polar Coordinates II
Area in Polar Coordinates III
Area in Polar Coordinates IIII
Homework: Pg 735 #7 – 17
Note: For these items you need only SET UP the integrals. Solutions are above.
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Solutions to Chapter 10 Homework
Section 10.2 a
Section 10.2 b
Section 10.2 c
Section 10.5 a
Section 10.5 b
Section 10.5 c
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Chapter 9:
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Section 9.1
Sequences I Intro
Sequences II
Sequences III
Sequences IIII
Sequences V
Sequences VI
Homework: pg 596 #17,19,29-37 odd, #45 – 51 odd, #53, #57
Homework Hints
Homework Solutions
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Section 9.2
Series I Intro
Series II
Series III
Series IIII
Series V
Series VI
Homework: pg 605 #11-23 odd #29-35 odd #45, #47, #61
Homework Hints
Homework Solutions
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Sections 9.3 – 9.5
Tests for Convergence I
Comparison Tests
Limit Comparison Test
Limit Comparison Test Examples
Limit Comparison Test Example II
Alternating Series Test
Homework: Pg 620 #17-25 odd
Homework Hints
Homework Solutions
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Section 9.6
Ratio Test I
Ratio Test II
Ratio Test III
Ration Test IIII
Root Test
Homework: #17-35 odd
Homework Hints
Homework Solutions
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Section 9.8
Power Series I Intro
Radius and Interval of Convergence I
Radius and Interval of Convergence II
Radius and Interval of Convergence III
Radius and Interval of Convergence IIII
Radius and Interval of Convergence V
Radius and Interval of Convergence VI
Derivatives and Integrals of Power Series
Homework: pg 658 #9-33 odd
Homework Hints
Homework Solutions