Math 2D, Fall 2017
Multivariable Calculus
Lecture D : MWF 4:00 - 4:50 in Humanities Hall 178
Instructor: Dr. Jeffrey Streets
Office Hours: Monday, Wednesday 3-4 and by appointment.
Office Location: Hu
AP Calculus BC Summer Work
Short Answer
1. Decompose
, into partial fractions.
2. Decompose
, into partial fractions.
3. Decompose
, into partial fractions.
4. Graph the point that has polar coordinat
REVIEW: INTEGRATION BY PARTIAL FRACTIONS, LHOPITALS RULE
AND IMPROPER INTEGRALS
1. Evaluate the limit
a. -1
2. Evaluate
b. 0
3. Evaluate the limit
b.
b. 2
d.
c.
1
16
x2
lim x
x e
.
c. 1
8e x /8 (8 x)
Name _
AP Calculus BC
Period _
Score _ / 10
HW 8.8 Improper Integrals
For each of the problems below determine whether the integral converges or diverges. For those that
converge, find the limit to wh
Name _
AP Calculus BC
Period _
Score _ / 10
HW 8.7 Indeterminate Forms and L
Hpitals Rule
Find each limit using LHptials Rule where appropriate.
1.)
3.)
2 x2 x 3
lim
x 1
x 1
x2 x 3
lim
x3
x2
5.)
lim
r
Name _
AP Calculus BC
Period _
Score _ / 10
HW 8.6 Integration by Tables
Use the Table of Integrals in Appendix B (Page A20) of your text to answer each of the following. Be sure
to state which formul
Name _
AP Calculus BC
Period _
Score _ / 10
HW 8.5 Integration by Partial Fractions
1.)
3.)
11x 15
x 2 3x 2 dx
2.)
x
4.)
7 x 25
dx
7x 8
2
5.)
7.)
21
x 2 7 x 10 dx
6.)
x
8.)
2
10 x
dx
9 x 36
9.)
11
AP CALCULUS - BC
Section Number:
LECTURE NOTES
Topics: Improper Integrals
- Improper Integrals With Infinite Limits of
Integration
8.8
The definition of a definite integral
requires the interval
b
f
AP CALCULUS BC
(Optional Topic)
Section Number:
LECTURE NOTES
MR. RECORD
Topics: Integration by Tables and Other Integration Techniques
Day: 1 of 2
8.6
Integration by Tables
Unfortunately, we are stil
AP CALCULUS - BC
Section Number:
8.5
LECTURE NOTES
Topics: Partial Fractions
- Linear Factors
MR. RECORD
Day: 1 of 2
Integrals Involving Partial Fraction Decomposition
In this section, youll see a met