Darryl Egley

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Sections 4.2 and 4.3
Riemann Sums I: Intro and Partitions Part A
Riemann Sums II: Partitions Part B and Norm
Riemann Sums III: Partitions Refinement
Riemann Sums IIII: Constructing the Sum
Riemann Sums V: Constructing the Sum a Particular Example
Riemann Sums VI: The Definite Integral
Riemann Sums VII: Regular Partitions and Definite Integral Notation
No assignment for these secitons.
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Section 4.4
The Fundamental Theorem I
The Fundamental Theorem II
Originally I had a video repeated here.
I have it corrected and the following is now the correct video for The Fundamental Theorem III.
The Fundamental Theorem III
The Fundamental Theorem IIII
The Fundamental Theorem V
The Fundamental Theorem VI
The Fundamental Theorem VII
Properties of Definite Integrals I
Properties of Definite Integrals II
Properties of Definite Integrals III
Properties of Definite Integrals IIII
Homework Pg 292 #9-49 odd
Solutions to this Homework are here.
Here is a correction to #27.
Also, because a student asked, there are solutions to #47 and #49, however, on the Exam, I will NOT be asking you integration problems involving Absolute Value.

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Section 4.5
Integration by Substitution Introduction I ( 11/18)
Integration by Substitution Introduction II ( 11/18)
Integration by Substitution I
Integration by Substitution II
Integration by Substitution III
Integration by Substitution IIII
Integration by Substitution V
Integration by Substitution VI
Integration by Substitution VII: Definite Integrals
Homework Pg 305 #9-29 odd, #39-45 odd. also #53, 54. also #61-67 odd
Solutions to this Homework are here. ( 11/20)
Corrections for one problem’s solution are here.
Knowledge of this section is of particular importance if you are going on to Calc II.
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Calc I Chapter 5 Video Links

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Section 5.1
Logs and Exponentials I: Intro Area So Far
Logs and Exponentials II: Definition of Natural Log
Logs and Exponentials III: Definition of e
Logs and Exponentials IIII: The Derivatives
Logs and Exponentials V: Derivative Examples with Natural Log
Homework: Pg 321 #43-61 odd, #67a, #69a, #73a
Solutions to this Homework are Here.
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Sec 5.4
Logs and Exponentials VI: Derivative Examples with e^x
Logs and Exponentials VII: Antiderivative of e^x and Natural Log
Integration with Natural Log Rule (posted 11/19)
Homework: Pg 330 #5-25 odd #51 – 57 odd (posted 11/19)
Solutions to this Homework are Here (posted 11/19)
Corrections for one problem’s solution are here.
Inverse Trig Derivatives I
Inverse Trig Derivatives II
Inverse Trig Derivatives III
Differentials
Several examples of Solve for M Type Problems are Here.
Integration involving the Exponential Function (posted 11/19)
Homework Pg 348 #33-51 odd #55, 57 65 #91-113 odd
Solutions to this homework are here. (posted 11/19)

Integration with Sine Inverse (posted 11/19)
Integration with Tangent Inverse (posted 11/19)
Integration with Secant Inverse (posted 11/19)