Integration Problem Sets

1969 Integration Problems
1973 Integration Problems
1985 Integration Problems

Answers


Free Response
2002 AB 4
2002 AB 4 (Form B)
2001 AB 3
1999 AB 5

Integral Formulas Involving Exponentials, Logarithmics and Inverse Trig Functions

HW: Larson 7 Chapter 5 Section 2 #1-35


HW: Larson 7 Chapter 5 Section 4 #87-111


HW: Larson 7 Chapter 5 Section 5 #61-67


HW: Larson 7 Chapter 5 Section 9 #1-49

Integration by Substitution

HW: Larson 7 4.5 #1-75 odds

The Fundamental Theorem of Calculus

HW: Larson 7 Section 4.4 #5-31 odds, 35-39 odds, 41-51 odds, 75-91 odds

Area and Definite Integrals

HW: Larson 7 Section 4.3 #13-45

Antiderivatives and Indefinite Integration

HW: Larson 7 4.1 #1-41 odds, 55-61 odds

Applications of Derivatives Problem Sets

Expanded Free Response Questions Problem Set
U Penn Midterm Practice Test

Applied Min/Max Problems

Graph Sketching

Concavity

Intervals of Increasing/Decreasing and Relative Extrema

Rolle's Theorem and Mean Value Theorem

Extreme Value Theorem

HW: Larson 7 Section 3.1 11-31 odds

Related Rates

Problem Set 4

Part 1: Limits, Continuity, Differentiability ANSWERS
Part 2: Basic Derivatives ANSWERS
Part 3: Motion Problems ANSWERS
Part 4: Implicit Differentiation ANSWERS
Part 5: Derivatives of Exponential, Logarithmic and Inverse Trigonometric Functions ANSWERS

Derivatives of Exponential and Logarithmic Functions

HW: FDWK 3.9 1-41 odds

Derivatives of Inverse Functions and Inverse Trigonometric Functions

HW: FDWK 3.8 1-29 odds

Problem Set 3

Problem Set 3
Worked out solutions
Problem 1 Video
Problem 2 Video
Problem 3 Video
Problem 4 Video
Problem 5 Video
Problem 6 Video
Problem 7 Video Part 1
Problem 7 Video Part 2
Problem 8 Video
Problem 9 Video
Problem 10 Video
Problem 11 Video

Rectilinear Motion

Test on Friday 10/22/10 on Chain Rule, Implicit Differentiation, Motion Problems

Today's in class examples (FDWK Ch 3 Section 4 - Selected answers in the online text):







Homework problems (FDWK Ch 3 Section 4 - Selected answers in the online text):

Implicit Differentiation

Chain Rule (Part 2)

HW: Larson 2.4 67-77 all



In class examples:

Chain Rule (Part 1)

HW Larson 2.4 1-6 all, 7-33 odd, 47-65 odd, 79, 81

Product and Quotient Rules

Basic Derivative Rules

Differentiation

Derivatives Problem Set

Derivative Rules - Constant, Power, Constant Multiple, Product and Quotient

Differentiation and Differentiability

Continuity

HW: Larson 1.4 #33-53 odd, #57-60 all

Trig Limits, Infinite Limits and Limits at Infinity

Larson 1.3 #67-81, 1.5 #33-47, 3.5 #15-31. Solutions for the odd exercises can be found in the online text.

Section 1.3


Section 1.5


Section 3.5

Limits - Algebraically

For review - remember you should be able to identify limits by looking at the graph or graph the piece-wise function first and then identify limits.




These are examples of the problems we did in class today. Hopefully these make help to make sense of why limits are so useful. You should be able to answer these questions as well.





Properties of Limits - These are the many different aspects of Direct Substitution. You should understand and be able to use them, but you don't have to memorize them.








Homework - Larson 7.0 1.3 #45-65 odds. You can access the book under Important Links on the right. Solutions are included in the actual text exercises.

Remember the strategies:
1) Direct Substitution (a.k.a. Plug-n-Chug)
2) Factor and Cancel
3) Rationalization
4) Simplifying Fractions