INTEGRATION TECHNIQUES
Chapter 9
Procedures for working with integrands: 9.1 p497
1) Expand (carry out operations)
2) Separate numerator (around + or - signs)
3) Complete the square (in denominator)
4
Calculus 1 121090 Exam 2
I Summer 2014
Name b
Instructions. Show all work and include appropriate explanations when necessary. A correct answer
unaccompanied by work may not receive full credit. Pleas
1210-90 Practice Problems
Here is a list of problems from your book that I have selected as good extra practice problems for the final
exam. Odd answers should be in the back of your book; I have atta
Calculus I 1210-90 Final Exam
Summer 2014
Name_
Instructions. Show all work and include appropriate explanations when necessary. Answers unaccompa
nied by work may Hot receive credit. Please try to do
1210-90 Exam 1
Spring 2014
I%L-J/
Name
Correct
Instructions.
Show all work and include appropriate explanations when space is provided.
answers unaccompanied by work may not receive full credit. Pleas
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will depend up
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will
1210-90 Exam 1
Summer 2014
Name
/
Instructions.
Show all work and include appropriate explanations when space is provided. Correct
answers unaccompanied by work may not receive full credit. Please cir
1210-90 Exam 2
v/
Name
Spring 2014
Instructions.
Show all work and include appropriate explanations when necessary. A correct answer
unaccompanied by work may not receive full credit. Please try to do
An Unfair Coin: Name 01M WVEQL.
An Application of Absolute Value Inequalities Section N335; \l\ u $3;
One application of an absolute value inequality is the concept of the unfair coin. If a coin is to
DIFFERENTIATION
Chapter 3
The Derivative of f at x is given by:
The quotient rule:
3.1 p98
f ( x + x ) f ( x )
f ( x ) = lim
x 0
x
The Alternate form of the Derivative:
derivative of f(x) at x = c is
Graphing Functions
Chapter 4
Relative Extrema
Definition of Extrema: I is an interval containing c.
f(c) is a minimum if f (c ) f ( x ) for each x in I.
f(c) is a maximum if f (c ) f ( x ) for each x
EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Chapter 7
Definition of Exponential Function: f ( x ) = b x where x
and b are real numbers and b > 0 and b 1 . The
domain is the set of all real numbers and the r
INTEGRATION
Chapter 5
Definition of Integral Notation for Antiderivatives:
5.1
p231
f ( x ) dx = F ( x ) + C
where:
F is an antiderivative of f
C is an arbitrary constant
Finding upper and lower sums
Limits and Continuity
Chapter 2
Limits
If f(x) becomes close to a unique number L as x
approaches c from both the right and left side, then
the limit of f(x) as x approaches c is L, denoted by
lim f (
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will
Calculus I
Preface
Here are the solutions to the practice problems for my Calculus I notes. Some solutions will have
more or less detail than other solutions. The level of detail in each solution will
Calculus I
Preface
Here are a set of problems for my Calculus I notes. These problems do not have any solutions
available on this site. These are intended mostly for instructors who might want a set o
Calculus I
Preface
Here are a set of practice problems for my Calculus I notes. If you are viewing the pdf version of
this document (as opposed to viewing it on the web) this document contains only th
Calculus I
Preface
Here are a set of practice problems for my Calculus I notes. If you are viewing the pdf version of
this document (as opposed to viewing it on the web) this document contains only th
Calculus I
Preface
Here are a set of problems for my Calculus I notes. These problems do not have any solutions
available on this site. These are intended mostly for instructors who might want a set o
Calculus I
Preface
Here are a set of problems for my Calculus I notes. These problems do not have any solutions
available on this site. These are intended mostly for instructors who might want a set o
Calculus I
Preface
Here are a set of problems for my Calculus I notes. These problems do not have any solutions
available on this site. These are intended mostly for instructors who might want a set o
Calculus I
Preface
Here are a set of problems for my Calculus I notes. These problems do not have any solutions
available on this site. These are intended mostly for instructors who might want a set o